3a(-8a)=-99

Solution for 3a(-8a)=-99 equation:

3a(-8a)=-99

We move all terms to the left:

3a(-8a)-(-99)=0

We add all the numbers together, and all the variables

3a(-8a)+99=0

We multiply parentheses

-24a^2+99=0

a = -24; b = 0; c = +99;
Δ = b2-4ac
Δ = 02-4·(-24)·99
Δ = 9504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9504}=\sqrt{144*66}=\sqrt{144}*\sqrt{66}=12\sqrt{66}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{66}}{2*-24}=\frac{0-12\sqrt{66}}{-48}
=-\frac{12\sqrt{66}}{-48}
=-\frac{\sqrt{66}}{-4}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{66}}{2*-24}=\frac{0+12\sqrt{66}}{-48}
=\frac{12\sqrt{66}}{-48}
=\frac{\sqrt{66}}{-4}
$