435.75=x^2+50x

Solution for 435.75=x^2+50x equation:

435.75=x^2+50x

We move all terms to the left:

435.75-(x^2+50x)=0

We get rid of parentheses

-x^2-50x+435.75=0

We add all the numbers together, and all the variables

-1x^2-50x+435.75=0

a = -1; b = -50; c = +435.75;
Δ = b2-4ac
Δ = -502-4·(-1)·435.75
Δ = 4243
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-\sqrt{4243}}{2*-1}=\frac{50-\sqrt{4243}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+\sqrt{4243}}{2*-1}=\frac{50+\sqrt{4243}}{-2}
$