15x^2-150X-225=0

Solution for 15x^2-150X-225=0 equation:

15x^2-150x-225=0

a = 15; b = -150; c = -225;
Δ = b2-4ac
Δ = -1502-4·15·(-225)
Δ = 36000
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:

$\sqrt{\Delta}=\sqrt{36000}=\sqrt{3600*10}=\sqrt{3600}*\sqrt{10}=60\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-60\sqrt{10}}{2*15}=\frac{150-60\sqrt{10}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+60\sqrt{10}}{2*15}=\frac{150+60\sqrt{10}}{30}
$