x2-64=63x

Solution for x2-64=63x equation:

x2-64=63x

We move all terms to the left:

x2-64-(63x)=0

We add all the numbers together, and all the variables

x^2-63x-64=0

a = 1; b = -63; c = -64;
Δ = b2-4ac
Δ = -632-4·1·(-64)
Δ = 4225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4225}=65$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-65}{2*1}=\frac{-2}{2}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+65}{2*1}=\frac{128}{2}
=64
$