0=x2-x-132

Solution for 0=x2-x-132 equation:

0=x2-x-132

We move all terms to the left:

0-(x2-x-132)=0

We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

-x^2+1x+132=0

We add all the numbers together, and all the variables

-1x^2+x+132=0

a = -1; b = 1; c = +132;
Δ = b2-4ac
Δ = 12-4·(-1)·132
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-23}{2*-1}=\frac{-24}{-2}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+23}{2*-1}=\frac{22}{-2}
=-11
$