306=x^2-x

Solution for 306=x^2-x equation:

306=x^2-x

We move all terms to the left:

306-(x^2-x)=0

We get rid of parentheses

-x^2+x+306=0

We add all the numbers together, and all the variables

-1x^2+x+306=0

a = -1; b = 1; c = +306;
Δ = b2-4ac
Δ = 12-4·(-1)·306
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-35}{2*-1}=\frac{-36}{-2}
=+18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+35}{2*-1}=\frac{34}{-2}
=-17
$