-8x^2=-1152

Solution for -8x^2=-1152 equation:

-8x^2=-1152

We move all terms to the left:

-8x^2-(-1152)=0

We add all the numbers together, and all the variables

-8x^2+1152=0

a = -8; b = 0; c = +1152;
Δ = b2-4ac
Δ = 02-4·(-8)·1152
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-192}{2*-8}=\frac{-192}{-16}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+192}{2*-8}=\frac{192}{-16}
=-12
$