((x^2)-36x-324)=64

Solution for ((x^2)-36x-324)=64 equation:

((x^2)-36x-324)=64

We move all terms to the left:

((x^2)-36x-324)-(64)=0

We get rid of parentheses

x^2-36x-324-64=0

We add all the numbers together, and all the variables

x^2-36x-388=0

a = 1; b = -36; c = -388;
Δ = b2-4ac
Δ = -362-4·1·(-388)
Δ = 2848
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2848}=\sqrt{16*178}=\sqrt{16}*\sqrt{178}=4\sqrt{178}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-4\sqrt{178}}{2*1}=\frac{36-4\sqrt{178}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+4\sqrt{178}}{2*1}=\frac{36+4\sqrt{178}}{2}
$