44=6x^2

Solution for 44=6x^2 equation:

44=6x^2

We move all terms to the left:

44-(6x^2)=0

a = -6; b = 0; c = +44;
Δ = b2-4ac
Δ = 02-4·(-6)·44
Δ = 1056
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:

$\sqrt{\Delta}=\sqrt{1056}=\sqrt{16*66}=\sqrt{16}*\sqrt{66}=4\sqrt{66}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{66}}{2*-6}=\frac{0-4\sqrt{66}}{-12}
=-\frac{4\sqrt{66}}{-12}
=-\frac{\sqrt{66}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{66}}{2*-6}=\frac{0+4\sqrt{66}}{-12}
=\frac{4\sqrt{66}}{-12}
=\frac{\sqrt{66}}{-3}
$