33x^2=0.21-2x

Solution for 33x^2=0.21-2x equation:

33x^2=0.21-2x

We move all terms to the left:

33x^2-(0.21-2x)=0

We add all the numbers together, and all the variables

33x^2-(-2x+0.21)=0

We get rid of parentheses

33x^2+2x-0.21=0

a = 33; b = 2; c = -0.21;
Δ = b2-4ac
Δ = 22-4·33·(-0.21)
Δ = 31.72
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-\sqrt{31.72}}{2*33}=\frac{-2-\sqrt{31.72}}{66}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{31.72}}{2*33}=\frac{-2+\sqrt{31.72}}{66}
$