600=x*x+50x

Solution for 600=x*x+50x equation:

600=x*x+50x

We move all terms to the left:

600-(x*x+50x)=0

We add all the numbers together, and all the variables

-(+50x+x*x)+600=0

We get rid of parentheses

-50x-x*x+600=0

Wy multiply elements

-1x^2-50x+600=0

a = -1; b = -50; c = +600;
Δ = b2-4ac
Δ = -502-4·(-1)·600
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{-(-50)-70}{2*-1}=\frac{-20}{-2}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+70}{2*-1}=\frac{120}{-2}
=-60
$