132x^2-23=132

Solution for 132x^2-23=132 equation:

132x^2-23=132

We move all terms to the left:

132x^2-23-(132)=0

We add all the numbers together, and all the variables

132x^2-155=0

a = 132; b = 0; c = -155;
Δ = b2-4ac
Δ = 02-4·132·(-155)
Δ = 81840
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:

$\sqrt{\Delta}=\sqrt{81840}=\sqrt{16*5115}=\sqrt{16}*\sqrt{5115}=4\sqrt{5115}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{5115}}{2*132}=\frac{0-4\sqrt{5115}}{264}
=-\frac{4\sqrt{5115}}{264}
=-\frac{\sqrt{5115}}{66}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{5115}}{2*132}=\frac{0+4\sqrt{5115}}{264}
=\frac{4\sqrt{5115}}{264}
=\frac{\sqrt{5115}}{66}
$