3x(x+88)=180

Solution for 3x(x+88)=180 equation:

3x(x+88)=180

We move all terms to the left:

3x(x+88)-(180)=0

We multiply parentheses

3x^2+264x-180=0

a = 3; b = 264; c = -180;
Δ = b2-4ac
Δ = 2642-4·3·(-180)
Δ = 71856
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:

$\sqrt{\Delta}=\sqrt{71856}=\sqrt{144*499}=\sqrt{144}*\sqrt{499}=12\sqrt{499}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(264)-12\sqrt{499}}{2*3}=\frac{-264-12\sqrt{499}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(264)+12\sqrt{499}}{2*3}=\frac{-264+12\sqrt{499}}{6}
$