-5x^2+75x-130=0

Solution for -5x^2+75x-130=0 equation:

-5x^2+75x-130=0

a = -5; b = 75; c = -130;
Δ = b2-4ac
Δ = 752-4·(-5)·(-130)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-55}{2*-5}=\frac{-130}{-10}
=+13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+55}{2*-5}=\frac{-20}{-10}
=+2
$