1500=x2

Solution for 1500=x2 equation:

1500=x2

We move all terms to the left:

1500-(x2)=0

We add all the numbers together, and all the variables

-1x^2+1500=0

a = -1; b = 0; c = +1500;
Δ = b2-4ac
Δ = 02-4·(-1)·1500
Δ = 6000
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:

$\sqrt{\Delta}=\sqrt{6000}=\sqrt{400*15}=\sqrt{400}*\sqrt{15}=20\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20\sqrt{15}}{2*-1}=\frac{0-20\sqrt{15}}{-2}
=-\frac{20\sqrt{15}}{-2}
=-\frac{10\sqrt{15}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20\sqrt{15}}{2*-1}=\frac{0+20\sqrt{15}}{-2}
=\frac{20\sqrt{15}}{-2}
=\frac{10\sqrt{15}}{-1}
$