((x^2)+x-132)/((x^2)+8x)=0

Solution for ((x^2)+x-132)/((x^2)+8x)=0 equation:

((x^2)+x-132)/((x^2)+8x)=0


Domain of the equation: (x^2+8x)!=0

x∈R


We multiply all the terms by the denominator


(x^2+x-132)=0

We get rid of parentheses

x^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
$