-100x^2=-64

Solution for -100x^2=-64 equation:

-100x^2=-64

We move all terms to the left:

-100x^2-(-64)=0

We add all the numbers together, and all the variables

-100x^2+64=0

a = -100; b = 0; c = +64;
Δ = b2-4ac
Δ = 02-4·(-100)·64
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160}{2*-100}=\frac{-160}{-200}
=4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160}{2*-100}=\frac{160}{-200}
=-4/5
$