15x^2+75x-1560=0

Solution for 15x^2+75x-1560=0 equation:

15x^2+75x-1560=0

a = 15; b = 75; c = -1560;
Δ = b2-4ac
Δ = 752-4·15·(-1560)
Δ = 99225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{99225}=315$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-315}{2*15}=\frac{-390}{30}
=-13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+315}{2*15}=\frac{240}{30}
=8
$