16a(-15a-12)=-12

Solution for 16a(-15a-12)=-12 equation:

16a(-15a-12)=-12

We move all terms to the left:

16a(-15a-12)-(-12)=0

We add all the numbers together, and all the variables

16a(-15a-12)+12=0

We multiply parentheses

-240a^2-192a+12=0

a = -240; b = -192; c = +12;
Δ = b2-4ac
Δ = -1922-4·(-240)·12
Δ = 48384
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:

$\sqrt{\Delta}=\sqrt{48384}=\sqrt{2304*21}=\sqrt{2304}*\sqrt{21}=48\sqrt{21}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-192)-48\sqrt{21}}{2*-240}=\frac{192-48\sqrt{21}}{-480}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-192)+48\sqrt{21}}{2*-240}=\frac{192+48\sqrt{21}}{-480}
$