3*x^2=15000

Solution for 3*x^2=15000 equation:

3*x^2=15000

We move all terms to the left:

3*x^2-(15000)=0

We add all the numbers together, and all the variables

3x^2-15000=0

a = 3; b = 0; c = -15000;
Δ = b2-4ac
Δ = 02-4·3·(-15000)
Δ = 180000
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:

$\sqrt{\Delta}=\sqrt{180000}=\sqrt{90000*2}=\sqrt{90000}*\sqrt{2}=300\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-300\sqrt{2}}{2*3}=\frac{0-300\sqrt{2}}{6}
=-\frac{300\sqrt{2}}{6}
=-50\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+300\sqrt{2}}{2*3}=\frac{0+300\sqrt{2}}{6}
=\frac{300\sqrt{2}}{6}
=50\sqrt{2}
$