2x(x+18)=16

Solution for 2x(x+18)=16 equation:

2x(x+18)=16

We move all terms to the left:

2x(x+18)-(16)=0

We multiply parentheses

2x^2+36x-16=0

a = 2; b = 36; c = -16;
Δ = b2-4ac
Δ = 362-4·2·(-16)
Δ = 1424
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:

$\sqrt{\Delta}=\sqrt{1424}=\sqrt{16*89}=\sqrt{16}*\sqrt{89}=4\sqrt{89}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-4\sqrt{89}}{2*2}=\frac{-36-4\sqrt{89}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+4\sqrt{89}}{2*2}=\frac{-36+4\sqrt{89}}{4}
$