2x(18*2x)=268

Solution for 2x(18*2x)=268 equation:

2x(18*2x)=268

We move all terms to the left:

2x(18*2x)-(268)=0

We add all the numbers together, and all the variables

2x(+18*2x)-268=0

We multiply parentheses

72x^2-268=0

a = 72; b = 0; c = -268;
Δ = b2-4ac
Δ = 02-4·72·(-268)
Δ = 77184
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:

$\sqrt{\Delta}=\sqrt{77184}=\sqrt{576*134}=\sqrt{576}*\sqrt{134}=24\sqrt{134}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{134}}{2*72}=\frac{0-24\sqrt{134}}{144}
=-\frac{24\sqrt{134}}{144}
=-\frac{\sqrt{134}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{134}}{2*72}=\frac{0+24\sqrt{134}}{144}
=\frac{24\sqrt{134}}{144}
=\frac{\sqrt{134}}{6}
$