9x^2+30=33x

Solution for 9x^2+30=33x equation:

9x^2+30=33x

We move all terms to the left:

9x^2+30-(33x)=0

a = 9; b = -33; c = +30;
Δ = b2-4ac
Δ = -332-4·9·30
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-3}{2*9}=\frac{30}{18}
=1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+3}{2*9}=\frac{36}{18}
=2
$