- $$ 4 x+2 x+8 x-3 $$ - $$ 5 x+5)-31-21+9 x $$ - $$ \frac{2 v+1}{5 x-2}=10 $$ - $$ 2 r^{2}-2 r^{2}+3 r^{2}+4 r-2 r $$ - $$ \frac{2 \cdot 2}{2 x-4}=x-10 $$ - $$ 123+50 / 60-320=423-1) $$ - $$ 2 x=\frac{10-3}{38-4} $$ - A1, $$ -22+(40 x+7)=(5 x-5) $$ - $$ \frac{10-\cdot-10}{5 x-4}=5 x-2 $$ - $$ 9 x^{2}+2 x-4 x^{2}(3-x)=10 x $$ - (2ab+ $$ \left.b^{2}\right)-\left(-2 a b+\left(2^{2}\right)=(2 a b+3)\right. $$

Question

UpStudy AI · Accepted Answer

Simplify the expression by following steps:
- step0: Solution:
  $$5x+5-31-21+9x$$
- step1: Add the terms:
  $$14x-47$$
Calculate or simplify the expression $$ 123+50 / 60-320=423-1 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$-22+\left(40x+7\right)=5x-5$$
- step1: Simplify:
  $$-15+40x=5x-5$$
- step2: Move the expression to the left side:
  $$40x-5x=-5+15$$
- step3: Add and subtract:
  $$35x=-5+15$$
- step4: Add and subtract:
  $$35x=10$$
- step5: Divide both sides:
  $$\frac{35x}{35}=\frac{10}{35}$$
- step6: Divide the numbers:
  $$x=\frac{2}{7}$$
Solve the equation $$ 2 x=\frac{10-3}{38-4} $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$2x=\frac{10-3}{38-4}$$
- step1: Simplify:
  $$2x=\frac{7}{34}$$
- step2: Multiply by the reciprocal:
  $$2x\times \frac{1}{2}=\frac{7}{34}\times \frac{1}{2}$$
- step3: Multiply:
  $$x=\frac{7}{68}$$
Solve the equation $$ \frac{2 \cdot 2}{2 x-4}=x-10 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{2\times 2}{2x-4}=x-10$$
- step1: Find the domain:
  $$\frac{2\times 2}{2x-4}=x-10,x\neq 2$$
- step2: Simplify:
  $$\frac{2}{x-2}=x-10$$
- step3: Multiply both sides of the equation by LCD:
  $$\frac{2}{x-2}\times \left(x-2\right)=\left(x-10\right)\left(x-2\right)$$
- step4: Simplify the equation:
  $$2=x^{2}-12x+20$$
- step5: Swap the sides:
  $$x^{2}-12x+20=2$$
- step6: Move the expression to the left side:
  $$x^{2}-12x+20-2=0$$
- step7: Subtract the numbers:
  $$x^{2}-12x+18=0$$
- step8: Solve using the quadratic formula:
  $$x=\frac{12\pm \sqrt{\left(-12\right)^{2}-4\times 18}}{2}$$
- step9: Simplify the expression:
  $$x=\frac{12\pm \sqrt{72}}{2}$$
- step10: Simplify the expression:
  $$x=\frac{12\pm 6\sqrt{2}}{2}$$
- step11: Separate into possible cases:
  $$\begin{align}&x=\frac{12+6\sqrt{2}}{2}\&x=\frac{12-6\sqrt{2}}{2}\end{align}$$
- step12: Simplify the expression:
  $$\begin{align}&x=6+3\sqrt{2}\&x=\frac{12-6\sqrt{2}}{2}\end{align}$$
- step13: Simplify the expression:
  $$\begin{align}&x=6+3\sqrt{2}\&x=6-3\sqrt{2}\end{align}$$
- step14: Check if the solution is in the defined range:
  $$\begin{align}&x=6+3\sqrt{2}\&x=6-3\sqrt{2}\end{align},x\neq 2$$
- step15: Find the intersection:
  $$\begin{align}&x=6+3\sqrt{2}\&x=6-3\sqrt{2}\end{align}$$
- step16: Rewrite:
  $$x_{1}=6-3\sqrt{2},x_{2}=6+3\sqrt{2}$$
Calculate or simplify the expression $$ 2 r^{2}-2 r^{2}+3 r^{2}+4 r-2 r $$.
Simplify the expression by following steps:
- step0: Solution:
  $$2r^{2}-2r^{2}+3r^{2}+4r-2r$$
- step1: Calculate:
  $$3r^{2}+2r$$
Calculate or simplify the expression $$ 4 x+2 x+8 x-3 $$.
Simplify the expression by following steps:
- step0: Solution:
  $$4x+2x+8x-3$$
- step1: Add the terms:
  $$14x-3$$
Solve the equation $$ \frac{2 v+1}{5 x-2}=10 $$.
Solve the equation by following steps:
- step0: Solve for $$v$$:
  $$\frac{2v+1}{5x-2}=10$$
- step1: Cross multiply:
  $$2v+1=\left(5x-2\right)\times 10$$
- step2: Simplify the equation:
  $$2v+1=50x-20$$
- step3: Move the constant to the right side:
  $$2v=50x-20-1$$
- step4: Subtract the numbers:
  $$2v=50x-21$$
- step5: Divide both sides:
  $$\frac{2v}{2}=\frac{50x-21}{2}$$
- step6: Divide the numbers:
  $$v=\frac{50x-21}{2}$$
Solve the equation $$ \frac{10-\cdot-10}{5 x-4}=5 x-2 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{10-10}{5x-4}=5x-2$$
- step1: Find the domain:
  $$\frac{10-10}{5x-4}=5x-2,x\neq \frac{4}{5}$$
- step2: Simplify:
  $$0=5x-2$$
- step3: Swap the sides:
  $$5x-2=0$$
- step4: Move the constant to the right side:
  $$5x=0+2$$
- step5: Remove 0:
  $$5x=2$$
- step6: Divide both sides:
  $$\frac{5x}{5}=\frac{2}{5}$$
- step7: Divide the numbers:
  $$x=\frac{2}{5}$$
- step8: Check if the solution is in the defined range:
  $$x=\frac{2}{5},x\neq \frac{4}{5}$$
- step9: Find the intersection:
  $$x=\frac{2}{5}$$
Solve the equation $$ 9 x^{2}+2 x-4 x^{2}(3-x)=10 x $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$9x^{2}+2x-4x^{2}\left(3-x\right)=10x$$
- step1: Move the expression to the left side:
  $$9x^{2}+2x-4x^{2}\left(3-x\right)-10x=0$$
- step2: Subtract the terms:
  $$9x^{2}-8x-4x^{2}\left(3-x\right)=0$$
- step3: Calculate:
  $$-3x^{2}-8x+4x^{3}=0$$
- step4: Factor the expression:
  $$-x\left(3x+8-4x^{2}\right)=0$$
- step5: Separate into possible cases:
  $$\begin{align}&-x=0\&3x+8-4x^{2}=0\end{align}$$
- step6: Change the signs:
  $$\begin{align}&x=0\&x=\frac{3+\sqrt{137}}{8}\&x=\frac{3-\sqrt{137}}{8}\end{align}$$
- step7: Rewrite:
  $$x_{1}=\frac{3-\sqrt{137}}{8},x_{2}=0,x_{3}=\frac{3+\sqrt{137}}{8}$$
Aquí están las soluciones a las expresiones y ecuaciones que proporcionaste:

1. **Simplificación de $$ 4x + 2x + 8x - 3 $$**:
   $$
   14x - 3
   $$

2. **Simplificación de $$ 5x + 5 - 31 - 21 + 9x $$**:
   $$
   14x - 47
   $$

3. **Resolviendo $$ \frac{2v + 1}{5x - 2} = 10 $$** para $$ v $$:
   $$
   v = \frac{50x - 21}{2}
   $$

4. **Simplificación de $$ 2r^{2} - 2r^{2} + 3r^{2} + 4r - 2r $$**:
   $$
   3r^{2} + 2r
   $$

5. **Resolviendo $$ \frac{2 \cdot 2}{2x - 4} = x - 10 $$** para $$ x $$:
   $$
   x_{1} = 6 - 3\sqrt{2}, \quad x_{2} = 6 + 3\sqrt{2}
   $$

6. **Error en la expresión $$ 123 + 50 / 60 - 320 = 423 - 1 $$**: Se debe resolver como una ecuación, no como una simplificación.

7. **Resolviendo $$ 2x = \frac{10 - 3}{38 - 4} $$** para $$ x $$:
   $$
   x = \frac{7}{68}
   $$

8. **Resolviendo $$ -22 + (40x + 7) = (5x - 5) $$** para $$ x $$:
   $$
   x = \frac{2}{7} \quad \text{o} \quad x = 0.\dot{2}8571\dot{4}
   $$

9. **Resolviendo $$ \frac{10 - \cdot -10}{5x - 4} = 5x - 2 $$** para $$ x $$:
   $$
   x = \frac{2}{5} \quad \text{o} \quad x = 0.4
   $$

10. **Resolviendo $$ 9x^{2} + 2x - 4x^{2}(3 - x) = 10x $$** para $$ x $$:
    $$
    x_{1} = \frac{3 - \sqrt{137}}{8}, \quad x_{2} = 0, \quad x_{3} = \frac{3 + \sqrt{137}}{8}
    $$

Si necesitas más ayuda o aclaraciones sobre alguna de las soluciones, no dudes en preguntar.
1. **Simplificación de $$ 4x + 2x + 8x - 3 $$**: $$ 14x - 3 $$ 2. **Simplificación de $$ 5x + 5 - 31 - 21 + 9x $$**: $$ 14x - 47 $$ 3. **Resolviendo $$ \frac{2v + 1}{5x - 2} = 10 $$** para $$ v $$: $$ v = \frac{50x - 21}{2} $$ 4. **Simplificación de $$ 2r^{2} - 2r^{2} + 3r^{2} + 4r - 2r $$**: $$ 3r^{2} + 2r $$ 5. **Resolviendo $$ \frac{2 \cdot 2}{2x - 4} = x - 10 $$** para $$ x $$: $$ x_{1} = 6 - 3\sqrt{2}, \quad x_{2} = 6 + 3\sqrt{2} $$ 6. **Error en la expresión $$ 123 + 50 / 60 - 320 = 423 - 1 $$**: Se debe resolver como una ecuación, no como una simplificación. 7. **Resolviendo $$ 2x = \frac{10 - 3}{38 - 4} $$** para $$ x $$: $$ x = \frac{7}{68} $$ 8. **Resolviendo $$ -22 + (40x + 7) = (5x - 5) $$** para $$ x $$: $$ x = \frac{2}{7} \quad \text{o} \quad x = 0.\dot{2}8571\dot{4} $$ 9. **Resolviendo $$ \frac{10 - \cdot -10}{5x - 4} = 5x - 2 $$** para $$ x $$: $$ x = \frac{2}{5} \quad \text{o} \quad x = 0.4 $$ 10. **Resolviendo $$ 9x^{2} + 2x - 4x^{2}(3 - x) = 10x $$** para $$ x $$: $$ x_{1} = \frac{3 - \sqrt{137}}{8}, \quad x_{2} = 0, \quad x_{3} = \frac{3 + \sqrt{137}}{8} $$ Si necesitas más ayuda o aclaraciones sobre alguna de las soluciones, no dudes en preguntar.

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