144a^2=24a

Solution for 144a^2=24a equation:

144a^2=24a

We move all terms to the left:

144a^2-(24a)=0

a = 144; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·144·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*144}=\frac{0}{288}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*144}=\frac{48}{288}
=1/6
$