(25x)(36x-15)=180

Solution for (25x)(36x-15)=180 equation:

(25x)(36x-15)=180

We move all terms to the left:

(25x)(36x-15)-(180)=0

We multiply parentheses

900x^2-375x-180=0

a = 900; b = -375; c = -180;
Δ = b2-4ac
Δ = -3752-4·900·(-180)
Δ = 788625
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:

$\sqrt{\Delta}=\sqrt{788625}=\sqrt{225*3505}=\sqrt{225}*\sqrt{3505}=15\sqrt{3505}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-375)-15\sqrt{3505}}{2*900}=\frac{375-15\sqrt{3505}}{1800}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-375)+15\sqrt{3505}}{2*900}=\frac{375+15\sqrt{3505}}{1800}
$