-91x^2=-132

Solution for -91x^2=-132 equation:

-91x^2=-132

We move all terms to the left:

-91x^2-(-132)=0

We add all the numbers together, and all the variables

-91x^2+132=0

a = -91; b = 0; c = +132;
Δ = b2-4ac
Δ = 02-4·(-91)·132
Δ = 48048
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:

$\sqrt{\Delta}=\sqrt{48048}=\sqrt{16*3003}=\sqrt{16}*\sqrt{3003}=4\sqrt{3003}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{3003}}{2*-91}=\frac{0-4\sqrt{3003}}{-182}
=-\frac{4\sqrt{3003}}{-182}
=-\frac{2\sqrt{3003}}{-91}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{3003}}{2*-91}=\frac{0+4\sqrt{3003}}{-182}
=\frac{4\sqrt{3003}}{-182}
=\frac{2\sqrt{3003}}{-91}
$