90(2x+15)x=180

Solution for 90(2x+15)x=180 equation:

90(2x+15)x=180

We move all terms to the left:

90(2x+15)x-(180)=0

We multiply parentheses

180x^2+1350x-180=0

a = 180; b = 1350; c = -180;
Δ = b2-4ac
Δ = 13502-4·180·(-180)
Δ = 1952100
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:

$\sqrt{\Delta}=\sqrt{1952100}=\sqrt{8100*241}=\sqrt{8100}*\sqrt{241}=90\sqrt{241}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1350)-90\sqrt{241}}{2*180}=\frac{-1350-90\sqrt{241}}{360}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1350)+90\sqrt{241}}{2*180}=\frac{-1350+90\sqrt{241}}{360}
$