-2y^2-750y=240

Solution for -2y^2-750y=240 equation:

-2y^2-750y=240

We move all terms to the left:

-2y^2-750y-(240)=0

a = -2; b = -750; c = -240;
Δ = b2-4ac
Δ = -7502-4·(-2)·(-240)
Δ = 560580
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{560580}=\sqrt{4*140145}=\sqrt{4}*\sqrt{140145}=2\sqrt{140145}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-750)-2\sqrt{140145}}{2*-2}=\frac{750-2\sqrt{140145}}{-4}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-750)+2\sqrt{140145}}{2*-2}=\frac{750+2\sqrt{140145}}{-4}
$