20x=6x*x

Solution for 20x=6x*x equation:

20x=6x*x

We move all terms to the left:

20x-(6x*x)=0

We add all the numbers together, and all the variables

20x-(+6x*x)=0

We get rid of parentheses

20x-6x*x=0

Wy multiply elements

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