-2x^2+948x=15000

Solution for -2x^2+948x=15000 equation:

-2x^2+948x=15000

We move all terms to the left:

-2x^2+948x-(15000)=0

a = -2; b = 948; c = -15000;
Δ = b2-4ac
Δ = 9482-4·(-2)·(-15000)
Δ = 778704
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:

$\sqrt{\Delta}=\sqrt{778704}=\sqrt{16*48669}=\sqrt{16}*\sqrt{48669}=4\sqrt{48669}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(948)-4\sqrt{48669}}{2*-2}=\frac{-948-4\sqrt{48669}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(948)+4\sqrt{48669}}{2*-2}=\frac{-948+4\sqrt{48669}}{-4}
$