18a^2-30=-33a

Solution for 18a^2-30=-33a equation:

18a^2-30=-33a

We move all terms to the left:

18a^2-30-(-33a)=0

We get rid of parentheses

18a^2+33a-30=0

a = 18; b = 33; c = -30;
Δ = b2-4ac
Δ = 332-4·18·(-30)
Δ = 3249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3249}=57$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-57}{2*18}=\frac{-90}{36}
=-2+1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+57}{2*18}=\frac{24}{36}
=2/3
$