150x^2-180x-900=0

Solution for 150x^2-180x-900=0 equation:

150x^2-180x-900=0

a = 150; b = -180; c = -900;
Δ = b2-4ac
Δ = -1802-4·150·(-900)
Δ = 572400
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:

$\sqrt{\Delta}=\sqrt{572400}=\sqrt{3600*159}=\sqrt{3600}*\sqrt{159}=60\sqrt{159}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-180)-60\sqrt{159}}{2*150}=\frac{180-60\sqrt{159}}{300}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-180)+60\sqrt{159}}{2*150}=\frac{180+60\sqrt{159}}{300}
$