33=x^2-6x

Solution for 33=x^2-6x equation:

33=x^2-6x

We move all terms to the left:

33-(x^2-6x)=0

We get rid of parentheses

-x^2+6x+33=0

We add all the numbers together, and all the variables

-1x^2+6x+33=0

a = -1; b = 6; c = +33;
Δ = b2-4ac
Δ = 62-4·(-1)·33
Δ = 168
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{168}=\sqrt{4*42}=\sqrt{4}*\sqrt{42}=2\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-2\sqrt{42}}{2*-1}=\frac{-6-2\sqrt{42}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+2\sqrt{42}}{2*-1}=\frac{-6+2\sqrt{42}}{-2}
$