0=15x^2-96x-508

Solution for 0=15x^2-96x-508 equation:

0=15x^2-96x-508

We move all terms to the left:

0-(15x^2-96x-508)=0

We add all the numbers together, and all the variables

-(15x^2-96x-508)=0

We get rid of parentheses

-15x^2+96x+508=0

a = -15; b = 96; c = +508;
Δ = b2-4ac
Δ = 962-4·(-15)·508
Δ = 39696
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:

$\sqrt{\Delta}=\sqrt{39696}=\sqrt{16*2481}=\sqrt{16}*\sqrt{2481}=4\sqrt{2481}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-4\sqrt{2481}}{2*-15}=\frac{-96-4\sqrt{2481}}{-30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+4\sqrt{2481}}{2*-15}=\frac{-96+4\sqrt{2481}}{-30}
$