6+-20x+6x^2=0

Solution for 6+-20x+6x^2=0 equation:

6+-20x+6x^2=0

We add all the numbers together, and all the variables

6x^2-20x=0

a = 6; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·6·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*6}=\frac{40}{12}
=3+1/3
$