760=x^2+18x

Solution for 760=x^2+18x equation:

760=x^2+18x

We move all terms to the left:

760-(x^2+18x)=0

We get rid of parentheses

-x^2-18x+760=0

We add all the numbers together, and all the variables

-1x^2-18x+760=0

a = -1; b = -18; c = +760;
Δ = b2-4ac
Δ = -182-4·(-1)·760
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-58}{2*-1}=\frac{-40}{-2}
=+20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+58}{2*-1}=\frac{76}{-2}
=-38
$