12a^2=15a

Solution for 12a^2=15a equation:

12a^2=15a

We move all terms to the left:

12a^2-(15a)=0

a = 12; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·12·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*12}=\frac{0}{24}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*12}=\frac{30}{24}
=1+1/4
$