Answer
The solutions are $x\approx 2.24$ and $x\approx -2.24$.
Work Step by Step
The given equation is
$\Rightarrow -5x^2=-25$
Divide each side by $-5$.
$\Rightarrow \frac{-5x^2}{-5}=\frac{-25}{-5}$
Simplify.
$\Rightarrow x^2=5$
Solve by the square root method.
Take the square root of each side.
$\Rightarrow x=\pm\sqrt{5}$
The solutions are $x=\sqrt{5}\approx 2.24$ and $x=-\sqrt{5}\approx -2.24$.
