X2+64x-576=0

Solution for X2+64x-576=0 equation:

X2+64X-576=0

We add all the numbers together, and all the variables

X^2+64X-576=0

a = 1; b = 64; c = -576;
Δ = b2-4ac
Δ = 642-4·1·(-576)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-80}{2*1}=\frac{-144}{2}
=-72
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+80}{2*1}=\frac{16}{2}
=8
$