-144(4-x^2)=0

Solution for -144(4-x^2)=0 equation:

-144(4-x^2)=0

We multiply parentheses

144x^2-576=0

a = 144; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·144·(-576)
Δ = 331776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{331776}=576$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-576}{2*144}=\frac{-576}{288}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+576}{2*144}=\frac{576}{288}
=2
$