15x^2=80

Solution for 15x^2=80 equation:

15x^2=80

We move all terms to the left:

15x^2-(80)=0

a = 15; b = 0; c = -80;
Δ = b2-4ac
Δ = 02-4·15·(-80)
Δ = 4800
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:

$\sqrt{\Delta}=\sqrt{4800}=\sqrt{1600*3}=\sqrt{1600}*\sqrt{3}=40\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{3}}{2*15}=\frac{0-40\sqrt{3}}{30}
=-\frac{40\sqrt{3}}{30}
=-\frac{4\sqrt{3}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{3}}{2*15}=\frac{0+40\sqrt{3}}{30}
=\frac{40\sqrt{3}}{30}
=\frac{4\sqrt{3}}{3}
$