24a^2=-64a

Solution for 24a^2=-64a equation:

24a^2=-64a

We move all terms to the left:

24a^2-(-64a)=0

We get rid of parentheses

24a^2+64a=0

a = 24; b = 64; c = 0;
Δ = b2-4ac
Δ = 642-4·24·0
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-64}{2*24}=\frac{-128}{48}
=-2+2/3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+64}{2*24}=\frac{0}{48}
=0
$