30a^2+13a=56

Solution for 30a^2+13a=56 equation:

30a^2+13a=56

We move all terms to the left:

30a^2+13a-(56)=0

a = 30; b = 13; c = -56;
Δ = b2-4ac
Δ = 132-4·30·(-56)
Δ = 6889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6889}=83$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-83}{2*30}=\frac{-96}{60}
=-1+3/5
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+83}{2*30}=\frac{70}{60}
=1+1/6
$