Answer
$x=10$ and $x=-10$
Work Step by Step
The given equation is
$\Rightarrow 4x^2-371=29$
Add $371$ to each side.
$\Rightarrow 4x^2-371+371=29+371$
Simplify.
$\Rightarrow 4x^2=400$
Divide each side by $4$.
$\Rightarrow \frac{4x^2}{4}=\frac{400}{4}$
Simplify.
$\Rightarrow x^2=100$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt {100}$
Simplify.
$\Rightarrow x=\pm10$
Hence, the solutions are $x=10$ and $x=-10$.
