x*x+x+x=132

Solution for x*x+x+x=132 equation:

x*x+x+x=132

We move all terms to the left:

x*x+x+x-(132)=0

We add all the numbers together, and all the variables

2x+x*x-132=0

Wy multiply elements

x^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}
$