875=x^2+60x

Solution for 875=x^2+60x equation:

875=x^2+60x

We move all terms to the left:

875-(x^2+60x)=0

We get rid of parentheses

-x^2-60x+875=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 = 7100
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:

$\sqrt{\Delta}=\sqrt{7100}=\sqrt{100*71}=\sqrt{100}*\sqrt{71}=10\sqrt{71}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-10\sqrt{71}}{2*-1}=\frac{60-10\sqrt{71}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+10\sqrt{71}}{2*-1}=\frac{60+10\sqrt{71}}{-2}
$