33x=0.5x2

Solution for 33x=0.5x2 equation:

33x=0.5x^2

We move all terms to the left:

33x-(0.5x^2)=0

We get rid of parentheses

-0.5x^2+33x=0

a = -0.5; b = 33; c = 0;
Δ = b2-4ac
Δ = 332-4·(-0.5)·0
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-33}{2*-0.5}=\frac{-66}{-1}
=+66
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+33}{2*-0.5}=\frac{0}{-1}
=0
$