-2x^2=-1344

Solution for -2x^2=-1344 equation:

-2x^2=-1344

We move all terms to the left:

-2x^2-(-1344)=0

We add all the numbers together, and all the variables

-2x^2+1344=0

a = -2; b = 0; c = +1344;
Δ = b2-4ac
Δ = 02-4·(-2)·1344
Δ = 10752
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:

$\sqrt{\Delta}=\sqrt{10752}=\sqrt{256*42}=\sqrt{256}*\sqrt{42}=16\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{42}}{2*-2}=\frac{0-16\sqrt{42}}{-4}
=-\frac{16\sqrt{42}}{-4}
=-\frac{4\sqrt{42}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{42}}{2*-2}=\frac{0+16\sqrt{42}}{-4}
=\frac{16\sqrt{42}}{-4}
=\frac{4\sqrt{42}}{-1}
$