108a+6a2=15a

Solution for 108a+6a2=15a equation:

108a+6a^2=15a

We move all terms to the left:

108a+6a^2-(15a)=0

We add all the numbers together, and all the variables

6a^2+93a=0

a = 6; b = 93; c = 0;
Δ = b2-4ac
Δ = 932-4·6·0
Δ = 8649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8649}=93$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(93)-93}{2*6}=\frac{-186}{12}
=-15+1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(93)+93}{2*6}=\frac{0}{12}
=0
$