3.2-0.6x=0.4x(x-2)

Solution for 3.2-0.6x=0.4x(x-2) equation:

3.2-0.6x=0.4x(x-2)

We move all terms to the left:

3.2-0.6x-(0.4x(x-2))=0


We calculate terms in parentheses: -(0.4x(x-2)), so:

0.4x(x-2)

We multiply parentheses

0x^2+0x

We add all the numbers together, and all the variables

x^2+x

Back to the equation:

-(x^2+x)


We get rid of parentheses

-x^2-0.6x-x+3.2=0

We add all the numbers together, and all the variables

-1x^2-1.6x+3.2=0

a = -1; b = -1.6; c = +3.2;
Δ = b2-4ac
Δ = -1.62-4·(-1)·3.2
Δ = 15.36
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{-(-1.6)-\sqrt{15.36}}{2*-1}=\frac{1.6-\sqrt{15.36}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.6)+\sqrt{15.36}}{2*-1}=\frac{1.6+\sqrt{15.36}}{-2}
$