-12x^2+64=0

Solution for -12x^2+64=0 equation:

-12x^2+64=0

a = -12; b = 0; c = +64;
Δ = b2-4ac
Δ = 02-4·(-12)·64
Δ = 3072
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3072}=\sqrt{1024*3}=\sqrt{1024}*\sqrt{3}=32\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{3}}{2*-12}=\frac{0-32\sqrt{3}}{-24}
=-\frac{32\sqrt{3}}{-24}
=-\frac{4\sqrt{3}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{3}}{2*-12}=\frac{0+32\sqrt{3}}{-24}
=\frac{32\sqrt{3}}{-24}
=\frac{4\sqrt{3}}{-3}
$