144x^2=12

Solution for 144x^2=12 equation:

144x^2=12

We move all terms to the left:

144x^2-(12)=0

a = 144; b = 0; c = -12;
Δ = b2-4ac
Δ = 02-4·144·(-12)
Δ = 6912
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:

$\sqrt{\Delta}=\sqrt{6912}=\sqrt{2304*3}=\sqrt{2304}*\sqrt{3}=48\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{3}}{2*144}=\frac{0-48\sqrt{3}}{288}
=-\frac{48\sqrt{3}}{288}
=-\frac{\sqrt{3}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{3}}{2*144}=\frac{0+48\sqrt{3}}{288}
=\frac{48\sqrt{3}}{288}
=\frac{\sqrt{3}}{6}
$