100=x^2+x

Solution for 100=x^2+x equation:

100=x^2+x

We move all terms to the left:

100-(x^2+x)=0

We get rid of parentheses

-x^2-x+100=0

We add all the numbers together, and all the variables

-1x^2-1x+100=0

a = -1; b = -1; c = +100;
Δ = b2-4ac
Δ = -12-4·(-1)·100
Δ = 401
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{-(-1)-\sqrt{401}}{2*-1}=\frac{1-\sqrt{401}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{401}}{2*-1}=\frac{1+\sqrt{401}}{-2}
$