18x^2=44

Solution for 18x^2=44 equation:

18x^2=44

We move all terms to the left:

18x^2-(44)=0

a = 18; b = 0; c = -44;
Δ = b2-4ac
Δ = 02-4·18·(-44)
Δ = 3168
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:

$\sqrt{\Delta}=\sqrt{3168}=\sqrt{144*22}=\sqrt{144}*\sqrt{22}=12\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{22}}{2*18}=\frac{0-12\sqrt{22}}{36}
=-\frac{12\sqrt{22}}{36}
=-\frac{\sqrt{22}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{22}}{2*18}=\frac{0+12\sqrt{22}}{36}
=\frac{12\sqrt{22}}{36}
=\frac{\sqrt{22}}{3}
$