4x2-4x=255

Solution for 4x2-4x=255 equation:

4x^2-4x=255

We move all terms to the left:

4x^2-4x-(255)=0

a = 4; b = -4; c = -255;
Δ = b2-4ac
Δ = -42-4·4·(-255)
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{-(-4)-64}{2*4}=\frac{-60}{8}
=-7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+64}{2*4}=\frac{68}{8}
=8+1/2
$