Solve the equation. Express numbers in exact simplest form. $$ \begin{array}{l}3 h+5(h+6)=0\end{array} $$ The solution set is $$ \{\square\} $$.

Question

UpStudy AI · Accepted Answer

1. Start with the equation:
   $$
   3h + 5(h+6) = 0
   $$

2. Distribute $$5$$ across $$(h+6)$$:
   $$
   3h + 5h + 30 = 0
   $$

3. Combine like terms:
   $$
   8h + 30 = 0
   $$

4. Subtract $$30$$ from both sides:
   $$
   8h = -30
   $$

5. Divide both sides by $$8$$:
   $$
   h = -\frac{30}{8}
   $$

6. Simplify the fraction by dividing numerator and denominator by their greatest common divisor, $$2$$:
   $$
   h = -\frac{15}{4}
   $$

The solution set is $$ \{ -\frac{15}{4} \} $$.
The solution is $$ h = -\frac{15}{4} $$.

Solve the equation. Express numbers in exact simplest form. \[ \begin{array}{l}3 h+5(h+6)=0\end{array} \] The solution set is \( \{\square\} \).