Answer
$x=-7,2$
Work Step by Step
$x^{2}+5x=14$
Subtract: $14$ from both sides: $x^{2}+5x-14=14-14$
$x^{2}+5x-14=0$.
$x^{2}-2x+7x-14=0$
$x^{2}-2x+7x-14=0$
$x(x-2)+7(x-2)=0$
$(x-2)(x+7)=0$
$(x-2)=0$ or $(x+7)=0$
$x=2$ or $x=-7$.
Therefore, $x=-7,2$.
