#### Answer

$x=\{ -10,5 \}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$
To solve the given equation, $
(x+10)(x-5)=0
,$ use the Zero-Factor Property by equating each factor to zero. Then solve each equation.
$\bf{\text{Solution Details:}}$
Equating each factor of the equation above to zero (Zero-Factor Property), then
\begin{array}{l}\require{cancel}
x+10=0 \text{ OR } x-5=0
.\end{array}
Using the properties of equality to solve each of the equation above results to
\begin{array}{l}\require{cancel}
x+10=0
\\\\
x=-10
\\\\\text{ OR }\\\\
x-5=0
\\\\
x=5
.\end{array}
Hence, the solutions are $
x=\{ -10,5 \}
.$