2x(x-6)=44

Solution for 2x(x-6)=44 equation:

2x(x-6)=44

We move all terms to the left:

2x(x-6)-(44)=0

We multiply parentheses

2x^2-12x-44=0

a = 2; b = -12; c = -44;
Δ = b2-4ac
Δ = -122-4·2·(-44)
Δ = 496
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:

$\sqrt{\Delta}=\sqrt{496}=\sqrt{16*31}=\sqrt{16}*\sqrt{31}=4\sqrt{31}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-4\sqrt{31}}{2*2}=\frac{12-4\sqrt{31}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+4\sqrt{31}}{2*2}=\frac{12+4\sqrt{31}}{4}
$