9x^2+75x-150=0

Solution for 9x^2+75x-150=0 equation:

9x^2+75x-150=0

a = 9; b = 75; c = -150;
Δ = b2-4ac
Δ = 752-4·9·(-150)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-105}{2*9}=\frac{-180}{18}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+105}{2*9}=\frac{30}{18}
=1+2/3
$