x^2=0+2(2)(16)

Solution for x^2=0+2(2)(16) equation:

x^2=0+2(2)(16)

We move all terms to the left:

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

We add all the numbers together, and all the variables

x^2-2216=0

a = 1; b = 0; c = -2216;
Δ = b2-4ac
Δ = 02-4·1·(-2216)
Δ = 8864
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:

$\sqrt{\Delta}=\sqrt{8864}=\sqrt{16*554}=\sqrt{16}*\sqrt{554}=4\sqrt{554}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{554}}{2*1}=\frac{0-4\sqrt{554}}{2}
=-\frac{4\sqrt{554}}{2}
=-2\sqrt{554}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{554}}{2*1}=\frac{0+4\sqrt{554}}{2}
=\frac{4\sqrt{554}}{2}
=2\sqrt{554}
$