12x2=54

Solution for 12x2=54 equation:

12x^2=54

We move all terms to the left:

12x^2-(54)=0

a = 12; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·12·(-54)
Δ = 2592
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:

$\sqrt{\Delta}=\sqrt{2592}=\sqrt{1296*2}=\sqrt{1296}*\sqrt{2}=36\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36\sqrt{2}}{2*12}=\frac{0-36\sqrt{2}}{24}
=-\frac{36\sqrt{2}}{24}
=-\frac{3\sqrt{2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36\sqrt{2}}{2*12}=\frac{0+36\sqrt{2}}{24}
=\frac{36\sqrt{2}}{24}
=\frac{3\sqrt{2}}{2}
$