15x^2=126

Solution for 15x^2=126 equation:

15x^2=126

We move all terms to the left:

15x^2-(126)=0

a = 15; b = 0; c = -126;
Δ = b2-4ac
Δ = 02-4·15·(-126)
Δ = 7560
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:

$\sqrt{\Delta}=\sqrt{7560}=\sqrt{36*210}=\sqrt{36}*\sqrt{210}=6\sqrt{210}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{210}}{2*15}=\frac{0-6\sqrt{210}}{30}
=-\frac{6\sqrt{210}}{30}
=-\frac{\sqrt{210}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{210}}{2*15}=\frac{0+6\sqrt{210}}{30}
=\frac{6\sqrt{210}}{30}
=\frac{\sqrt{210}}{5}
$