x(4x-25)90=180

Solution for x(4x-25)90=180 equation:

x(4x-25)90=180

We move all terms to the left:

x(4x-25)90-(180)=0

We multiply parentheses

360x^2-2250x-180=0

a = 360; b = -2250; c = -180;
Δ = b2-4ac
Δ = -22502-4·360·(-180)
Δ = 5321700
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:

$\sqrt{\Delta}=\sqrt{5321700}=\sqrt{72900*73}=\sqrt{72900}*\sqrt{73}=270\sqrt{73}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2250)-270\sqrt{73}}{2*360}=\frac{2250-270\sqrt{73}}{720}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2250)+270\sqrt{73}}{2*360}=\frac{2250+270\sqrt{73}}{720}
$