X2+16x=-16

Solution for X2+16x=-16 equation:

X2+16X=-16

We move all terms to the left:

X2+16X-(-16)=0

We add all the numbers together, and all the variables

X^2+16X+16=0

a = 1; b = 16; c = +16;
Δ = b2-4ac
Δ = 162-4·1·16
Δ = 192
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:

$\sqrt{\Delta}=\sqrt{192}=\sqrt{64*3}=\sqrt{64}*\sqrt{3}=8\sqrt{3}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-8\sqrt{3}}{2*1}=\frac{-16-8\sqrt{3}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+8\sqrt{3}}{2*1}=\frac{-16+8\sqrt{3}}{2}
$