600=1.5x^2

Solution for 600=1.5x^2 equation:

600=1.5x^2

We move all terms to the left:

600-(1.5x^2)=0

We get rid of parentheses

-1.5x^2+600=0

a = -1.5; b = 0; c = +600;
Δ = b2-4ac
Δ = 02-4·(-1.5)·600
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-1.5}=\frac{-60}{-3}
=+20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-1.5}=\frac{60}{-3}
=-20
$