-4x^2=-304

Solution for -4x^2=-304 equation:

-4x^2=-304

We move all terms to the left:

-4x^2-(-304)=0

We add all the numbers together, and all the variables

-4x^2+304=0

a = -4; b = 0; c = +304;
Δ = b2-4ac
Δ = 02-4·(-4)·304
Δ = 4864
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:

$\sqrt{\Delta}=\sqrt{4864}=\sqrt{256*19}=\sqrt{256}*\sqrt{19}=16\sqrt{19}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{19}}{2*-4}=\frac{0-16\sqrt{19}}{-8}
=-\frac{16\sqrt{19}}{-8}
=-\frac{2\sqrt{19}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{19}}{2*-4}=\frac{0+16\sqrt{19}}{-8}
=\frac{16\sqrt{19}}{-8}
=\frac{2\sqrt{19}}{-1}
$