3x(x+2)44=180

Solution for 3x(x+2)44=180 equation:

3x(x+2)44=180

We move all terms to the left:

3x(x+2)44-(180)=0

We multiply parentheses

132x^2+264x-180=0

a = 132; b = 264; c = -180;
Δ = b2-4ac
Δ = 2642-4·132·(-180)
Δ = 164736
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:

$\sqrt{\Delta}=\sqrt{164736}=\sqrt{576*286}=\sqrt{576}*\sqrt{286}=24\sqrt{286}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(264)-24\sqrt{286}}{2*132}=\frac{-264-24\sqrt{286}}{264}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(264)+24\sqrt{286}}{2*132}=\frac{-264+24\sqrt{286}}{264}
$