2x*(x-1)=132

Solution for 2x*(x-1)=132 equation:

2x(x-1)=132

We move all terms to the left:

2x(x-1)-(132)=0

We multiply parentheses

2x^2-2x-132=0

a = 2; b = -2; c = -132;
Δ = b2-4ac
Δ = -22-4·2·(-132)
Δ = 1060
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:

$\sqrt{\Delta}=\sqrt{1060}=\sqrt{4*265}=\sqrt{4}*\sqrt{265}=2\sqrt{265}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{265}}{2*2}=\frac{2-2\sqrt{265}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{265}}{2*2}=\frac{2+2\sqrt{265}}{4}
$