X^2+4x+8=124

Solution for X^2+4x+8=124 equation:

X^2+4X+8=124

We move all terms to the left:

X^2+4X+8-(124)=0

We add all the numbers together, and all the variables

X^2+4X-116=0

a = 1; b = 4; c = -116;
Δ = b2-4ac
Δ = 42-4·1·(-116)
Δ = 480
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:

$\sqrt{\Delta}=\sqrt{480}=\sqrt{16*30}=\sqrt{16}*\sqrt{30}=4\sqrt{30}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{30}}{2*1}=\frac{-4-4\sqrt{30}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{30}}{2*1}=\frac{-4+4\sqrt{30}}{2}
$