50x^2=360

Solution for 50x^2=360 equation:

50x^2=360

We move all terms to the left:

50x^2-(360)=0

a = 50; b = 0; c = -360;
Δ = b2-4ac
Δ = 02-4·50·(-360)
Δ = 72000
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:

$\sqrt{\Delta}=\sqrt{72000}=\sqrt{14400*5}=\sqrt{14400}*\sqrt{5}=120\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120\sqrt{5}}{2*50}=\frac{0-120\sqrt{5}}{100}
=-\frac{120\sqrt{5}}{100}
=-\frac{6\sqrt{5}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120\sqrt{5}}{2*50}=\frac{0+120\sqrt{5}}{100}
=\frac{120\sqrt{5}}{100}
=\frac{6\sqrt{5}}{5}
$