2x(x+16)=124

Solution for 2x(x+16)=124 equation:

2x(x+16)=124

We move all terms to the left:

2x(x+16)-(124)=0

We multiply parentheses

2x^2+32x-124=0

a = 2; b = 32; c = -124;
Δ = b2-4ac
Δ = 322-4·2·(-124)
Δ = 2016
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:

$\sqrt{\Delta}=\sqrt{2016}=\sqrt{144*14}=\sqrt{144}*\sqrt{14}=12\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-12\sqrt{14}}{2*2}=\frac{-32-12\sqrt{14}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+12\sqrt{14}}{2*2}=\frac{-32+12\sqrt{14}}{4}
$