20x2=x/80

Solution for 20x2=x/80 equation:

20x^2=x/80

We move all terms to the left:

20x^2-(x/80)=0

We add all the numbers together, and all the variables

20x^2-(+x/80)=0

We get rid of parentheses

20x^2-x/80=0

We multiply all the terms by the denominator


20x^2*80-x=0

We add all the numbers together, and all the variables

20x^2*80-1x=0

Wy multiply elements

1600x^2-1x=0

a = 1600; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·1600·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*1600}=\frac{0}{3200}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*1600}=\frac{2}{3200}
=1/1600
$