6x(x+8)=132

Solution for 6x(x+8)=132 equation:

6x(x+8)=132

We move all terms to the left:

6x(x+8)-(132)=0

We multiply parentheses

6x^2+48x-132=0

a = 6; b = 48; c = -132;
Δ = b2-4ac
Δ = 482-4·6·(-132)
Δ = 5472
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:

$\sqrt{\Delta}=\sqrt{5472}=\sqrt{144*38}=\sqrt{144}*\sqrt{38}=12\sqrt{38}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-12\sqrt{38}}{2*6}=\frac{-48-12\sqrt{38}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+12\sqrt{38}}{2*6}=\frac{-48+12\sqrt{38}}{12}
$