0.8x(1/3)-0.2x=0

Solution for 0.8x(1/3)-0.2x=0 equation:

0.8x(1/3)-0.2x=0

We add all the numbers together, and all the variables

0.8x(+1/3)-0.2x=0

We add all the numbers together, and all the variables

-0.2x+0.8x(+1/3)=0

We multiply parentheses

0x^2-0.2x=0

We add all the numbers together, and all the variables

x^2-0.2x=0

a = 1; b = -0.2; c = 0;
Δ = b2-4ac
Δ = -0.22-4·1·0
Δ = 0.04
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{-(-0.2)-\sqrt{0.04}}{2*1}=\frac{0.2-\sqrt{0.04}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.2)+\sqrt{0.04}}{2*1}=\frac{0.2+\sqrt{0.04}}{2}
$