75x^2-750x-5625=0

Solution for 75x^2-750x-5625=0 equation:

75x^2-750x-5625=0

a = 75; b = -750; c = -5625;
Δ = b2-4ac
Δ = -7502-4·75·(-5625)
Δ = 2250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2250000}=1500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-750)-1500}{2*75}=\frac{-750}{150}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-750)+1500}{2*75}=\frac{2250}{150}
=15
$