-x2+60x-500=375

Solution for -x2+60x-500=375 equation:

-x2+60x-500=375

We move all terms to the left:

-x2+60x-500-(375)=0

We add all the numbers together, and all the variables

-1x^2+60x-875=0

a = -1; b = 60; c = -875;
Δ = b2-4ac
Δ = 602-4·(-1)·(-875)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-10}{2*-1}=\frac{-70}{-2}
=+35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+10}{2*-1}=\frac{-50}{-2}
=+25
$