64x=x*x

Solution for 64x=x*x equation:

64x=x*x

We move all terms to the left:

64x-(x*x)=0

We add all the numbers together, and all the variables

64x-(+x*x)=0

We get rid of parentheses

64x-x*x=0

Wy multiply elements

-1x^2+64x=0

a = -1; b = 64; c = 0;
Δ = b2-4ac
Δ = 642-4·(-1)·0
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-64}{2*-1}=\frac{-128}{-2}
=+64
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+64}{2*-1}=\frac{0}{-2}
=0
$