0.06x(1-0.4X)=0.4X

Solution for 0.06x(1-0.4X)=0.4X equation:

0.06x(1-0.4x)=0.4x

We move all terms to the left:

0.06x(1-0.4x)-(0.4x)=0

We add all the numbers together, and all the variables

0.06x(-0.4x+1)-(+0.4x)=0

We multiply parentheses

0x^2+0x-(+0.4x)=0

We get rid of parentheses

0x^2+0x-0.4x=0

We add all the numbers together, and all the variables

x^2+0.6x=0

a = 1; b = 0.6; c = 0;
Δ = b2-4ac
Δ = 0.62-4·1·0
Δ = 0.36
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{-(0.6)-\sqrt{0.36}}{2*1}=\frac{-0.6-\sqrt{0.36}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.6)+\sqrt{0.36}}{2*1}=\frac{-0.6+\sqrt{0.36}}{2}
$