-2x^2+130x-1500=0

Solution for -2x^2+130x-1500=0 equation:

-2x^2+130x-1500=0

a = -2; b = 130; c = -1500;
Δ = b2-4ac
Δ = 1302-4·(-2)·(-1500)
Δ = 4900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4900}=70$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(130)-70}{2*-2}=\frac{-200}{-4}
=+50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(130)+70}{2*-2}=\frac{-60}{-4}
=+15
$