3x(5x-6)90=180

Solution for 3x(5x-6)90=180 equation:

3x(5x-6)90=180

We move all terms to the left:

3x(5x-6)90-(180)=0

We multiply parentheses

1350x^2-1620x-180=0

a = 1350; b = -1620; c = -180;
Δ = b2-4ac
Δ = -16202-4·1350·(-180)
Δ = 3596400
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:

$\sqrt{\Delta}=\sqrt{3596400}=\sqrt{32400*111}=\sqrt{32400}*\sqrt{111}=180\sqrt{111}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1620)-180\sqrt{111}}{2*1350}=\frac{1620-180\sqrt{111}}{2700}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1620)+180\sqrt{111}}{2*1350}=\frac{1620+180\sqrt{111}}{2700}
$