Solve for h.

Question

(9h − 5)(h + 7) = 0

Write your answers as integers or as proper or improper fractions in simplest form.

h =
or h =

Answer 1

To solve the equation \((9h - 5)(h + 7) = 0\), we will set each factor equal to zero.

1. Set the first factor equal to zero: \[ 9h - 5 = 0 \] Add 5 to both sides: \[ 9h = 5 \] Divide both sides by 9: \[ h = \frac{5}{9} \]

2. Set the second factor equal to zero: \[ h + 7 = 0 \] Subtract 7 from both sides: \[ h = -7 \]

So, the solutions are: \[ h = \frac{5}{9} \quad \text{or} \quad h = -7 \]