-64x^2=-64

Solution for -64x^2=-64 equation:

-64x^2=-64

We move all terms to the left:

-64x^2-(-64)=0

We add all the numbers together, and all the variables

-64x^2+64=0

a = -64; b = 0; c = +64;
Δ = b2-4ac
Δ = 02-4·(-64)·64
Δ = 16384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16384}=128$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-128}{2*-64}=\frac{-128}{-128}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+128}{2*-64}=\frac{128}{-128}
=-1
$