Solve each of the following equations. (a) $$ (2 x-1)(x+8)=0 $$

Question

UpStudy AI · Accepted Answer

We are given the equation
$$
(2x-1)(x+8)=0.
$$
Using the zero-product property, we set each factor equal to zero:

1. $$2x-1=0$$

Solve for $$x$$:
   $$
   2x = 1 \quad \Rightarrow \quad x = \frac{1}{2}.
   $$

2. $$x+8=0$$

Solve for $$x$$:
   $$
   x = -8.
   $$

Thus, the solutions are $$x = \frac{1}{2}$$ and $$x = -8$$.
The solutions are $$x = \frac{1}{2}$$ and $$x = -8$$.

Solve each of the following equations. (a) \( (2 x-1)(x+8)=0 \)