-2=4x2-16

Solution for -2=4x2-16 equation:

-2=4x^2-16

We move all terms to the left:

-2-(4x^2-16)=0

We get rid of parentheses

-4x^2+16-2=0

We add all the numbers together, and all the variables

-4x^2+14=0

a = -4; b = 0; c = +14;
Δ = b2-4ac
Δ = 02-4·(-4)·14
Δ = 224
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:

$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{14}}{2*-4}=\frac{0-4\sqrt{14}}{-8}
=-\frac{4\sqrt{14}}{-8}
=-\frac{\sqrt{14}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{14}}{2*-4}=\frac{0+4\sqrt{14}}{-8}
=\frac{4\sqrt{14}}{-8}
=\frac{\sqrt{14}}{-2}
$