-25x^2-60x+310=0

Solution for -25x^2-60x+310=0 equation:

-25x^2-60x+310=0

a = -25; b = -60; c = +310;
Δ = b2-4ac
Δ = -602-4·(-25)·310
Δ = 34600
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:

$\sqrt{\Delta}=\sqrt{34600}=\sqrt{100*346}=\sqrt{100}*\sqrt{346}=10\sqrt{346}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-10\sqrt{346}}{2*-25}=\frac{60-10\sqrt{346}}{-50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+10\sqrt{346}}{2*-25}=\frac{60+10\sqrt{346}}{-50}
$