3x(9x+12)=180

Solution for 3x(9x+12)=180 equation:

3x(9x+12)=180

We move all terms to the left:

3x(9x+12)-(180)=0

We multiply parentheses

27x^2+36x-180=0

a = 27; b = 36; c = -180;
Δ = b2-4ac
Δ = 362-4·27·(-180)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-144}{2*27}=\frac{-180}{54}
=-3+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+144}{2*27}=\frac{108}{54}
=2
$