132=x(x-2)

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

132=x(x-2)

We move all terms to the left:

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


We calculate terms in parentheses: -(x(x-2)), so:

x(x-2)

We multiply parentheses

x^2-2x

Back to the equation:

-(x^2-2x)


We get rid of parentheses

-x^2+2x+132=0

We add all the numbers together, and all the variables

-1x^2+2x+132=0

a = -1; b = 2; c = +132;
Δ = b2-4ac
Δ = 22-4·(-1)·132
Δ = 532
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:

$\sqrt{\Delta}=\sqrt{532}=\sqrt{4*133}=\sqrt{4}*\sqrt{133}=2\sqrt{133}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{133}}{2*-1}=\frac{-2-2\sqrt{133}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{133}}{2*-1}=\frac{-2+2\sqrt{133}}{-2}
$