9a2-30=-3a

Solution for 9a2-30=-3a equation:

9a^2-30=-3a

We move all terms to the left:

9a^2-30-(-3a)=0

We get rid of parentheses

9a^2+3a-30=0

a = 9; b = 3; c = -30;
Δ = b2-4ac
Δ = 32-4·9·(-30)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-33}{2*9}=\frac{-36}{18}
=-2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+33}{2*9}=\frac{30}{18}
=1+2/3
$