2000=1.33x^2

Solution for 2000=1.33x^2 equation:

2000=1.33x^2

We move all terms to the left:

2000-(1.33x^2)=0

We get rid of parentheses

-1.33x^2+2000=0

a = -1.33; b = 0; c = +2000;
Δ = b2-4ac
Δ = 02-4·(-1.33)·2000
Δ = 10640
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:

$\sqrt{\Delta}=\sqrt{10640}=\sqrt{16*665}=\sqrt{16}*\sqrt{665}=4\sqrt{665}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{665}}{2*-1.33}=\frac{0-4\sqrt{665}}{-2.66}
=-\frac{4\sqrt{665}}{-2.66}
=-\frac{2\sqrt{665}}{-1.33}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{665}}{2*-1.33}=\frac{0+4\sqrt{665}}{-2.66}
=\frac{4\sqrt{665}}{-2.66}
=\frac{2\sqrt{665}}{-1.33}
$