Answer
$x=0$ and $x=-7$.
Work Step by Step
The given equation is
$\Rightarrow x(x+7)=0$
Use zero-product property rule.
$\Rightarrow x=0$ or $x+7=0$
Solve for $x$.
$\Rightarrow x=0$ or $x=-7$
Check:-
$x=0$
$\Rightarrow 0(0+7)=0$
$\Rightarrow 0(7)=0$
$\Rightarrow 0=0$
True.
Check:-
$x=-7$
$\Rightarrow -7(-7+7)=0$
$\Rightarrow -7(0)=0$
$\Rightarrow 0=0$
True.
Hence, the solutions are $x=0$ and $x=-7$.
