X=33x^2-3x

Solution for X=33x^2-3x equation:

X=33X^2-3X

We move all terms to the left:

X-(33X^2-3X)=0

We get rid of parentheses

-33X^2+X+3X=0

We add all the numbers together, and all the variables

-33X^2+4X=0

a = -33; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-33)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-33}=\frac{-8}{-66}
=4/33
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-33}=\frac{0}{-66}
=0
$