33=16.5x2

Solution for 33=16.5x2 equation:

33=16.5x^2

We move all terms to the left:

33-(16.5x^2)=0

We get rid of parentheses

-16.5x^2+33=0

a = -16.5; b = 0; c = +33;
Δ = b2-4ac
Δ = 02-4·(-16.5)·33
Δ = 2178
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:

$\sqrt{\Delta}=\sqrt{2178}=\sqrt{1089*2}=\sqrt{1089}*\sqrt{2}=33\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-33\sqrt{2}}{2*-16.5}=\frac{0-33\sqrt{2}}{-33}
=-\frac{33\sqrt{2}}{-33}
=-\frac{\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+33\sqrt{2}}{2*-16.5}=\frac{0+33\sqrt{2}}{-33}
=\frac{33\sqrt{2}}{-33}
=\frac{\sqrt{2}}{-1}
$