x(4x-4)=360

Solution for x(4x-4)=360 equation:

x(4x-4)=360

We move all terms to the left:

x(4x-4)-(360)=0

We multiply parentheses

4x^2-4x-360=0

a = 4; b = -4; c = -360;
Δ = b2-4ac
Δ = -42-4·4·(-360)
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-76}{2*4}=\frac{-72}{8}
=-9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+76}{2*4}=\frac{80}{8}
=10
$