6-33.3x^2=-20

Solution for 6-33.3x^2=-20 equation:

6-33.3x^2=-20

We move all terms to the left:

6-33.3x^2-(-20)=0

We add all the numbers together, and all the variables

-33.3x^2+26=0

a = -33.3; b = 0; c = +26;
Δ = b2-4ac
Δ = 02-4·(-33.3)·26
Δ = 3463.2
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{-(0)-\sqrt{3463.2}}{2*-33.3}=\frac{0-\sqrt{3463.2}}{-66.6}
=-\frac{\sqrt{}}{-66.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3463.2}}{2*-33.3}=\frac{0+\sqrt{3463.2}}{-66.6}
=\frac{\sqrt{}}{-66.6}
$