-0.2x=(0.3-x)(1-x)

Solution for -0.2x=(0.3-x)(1-x) equation:

Simplifying
-0.2x = (0.3 + -1x)(1 + -1x)

Multiply (0.3 + -1x) * (1 + -1x)
-0.2x = (0.3(1 + -1x) + -1x * (1 + -1x))
-0.2x = ((1 * 0.3 + -1x * 0.3) + -1x * (1 + -1x))
-0.2x = ((0.3 + -0.3x) + -1x * (1 + -1x))
-0.2x = (0.3 + -0.3x + (1 * -1x + -1x * -1x))
-0.2x = (0.3 + -0.3x + (-1x + 1x2))

Combine like terms: -0.3x + -1x = -1.3x
-0.2x = (0.3 + -1.3x + 1x2)

Solving
-0.2x = 0.3 + -1.3x + 1x2

Solving for variable 'x'.

Reorder the terms:
-0.3 + -0.2x + 1.3x + -1x2 = 0.3 + -1.3x + 1x2 + -0.3 + 1.3x + -1x2

Combine like terms: -0.2x + 1.3x = 1.1x
-0.3 + 1.1x + -1x2 = 0.3 + -1.3x + 1x2 + -0.3 + 1.3x + -1x2

Reorder the terms:
-0.3 + 1.1x + -1x2 = 0.3 + -0.3 + -1.3x + 1.3x + 1x2 + -1x2

Combine like terms: 0.3 + -0.3 = 0.0
-0.3 + 1.1x + -1x2 = 0.0 + -1.3x + 1.3x + 1x2 + -1x2
-0.3 + 1.1x + -1x2 = -1.3x + 1.3x + 1x2 + -1x2

Combine like terms: -1.3x + 1.3x = 0.0
-0.3 + 1.1x + -1x2 = 0.0 + 1x2 + -1x2
-0.3 + 1.1x + -1x2 = 1x2 + -1x2

Combine like terms: 1x2 + -1x2 = 0
-0.3 + 1.1x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
0.3 + -1.1x + x2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -1.1x + -0.3 + x2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + -1.1x + x2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -1.1x + x2 = 0 + -0.3
-1.1x + x2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
-1.1x + x2 = -0.3

The x term is -1.1x.  Take half its coefficient (-0.55).
Square it (0.3025) and add it to both sides.

Add '0.3025' to each side of the equation.
-1.1x + 0.3025 + x2 = -0.3 + 0.3025

Reorder the terms:
0.3025 + -1.1x + x2 = -0.3 + 0.3025

Combine like terms: -0.3 + 0.3025 = 0.0025
0.3025 + -1.1x + x2 = 0.0025

Factor a perfect square on the left side:
(x + -0.55)(x + -0.55) = 0.0025

Calculate the square root of the right side: 0.05

Break this problem into two subproblems by setting 
(x + -0.55) equal to 0.05 and -0.05.

Subproblem 1
x + -0.55 = 0.05

Simplifying
x + -0.55 = 0.05

Reorder the terms:
-0.55 + x = 0.05

Solving
-0.55 + x = 0.05

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.55' to each side of the equation.
-0.55 + 0.55 + x = 0.05 + 0.55

Combine like terms: -0.55 + 0.55 = 0.00
0.00 + x = 0.05 + 0.55
x = 0.05 + 0.55

Combine like terms: 0.05 + 0.55 = 0.6
x = 0.6

Simplifying
x = 0.6

Subproblem 2
x + -0.55 = -0.05

Simplifying
x + -0.55 = -0.05

Reorder the terms:
-0.55 + x = -0.05

Solving
-0.55 + x = -0.05

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.55' to each side of the equation.
-0.55 + 0.55 + x = -0.05 + 0.55

Combine like terms: -0.55 + 0.55 = 0.00
0.00 + x = -0.05 + 0.55
x = -0.05 + 0.55

Combine like terms: -0.05 + 0.55 = 0.5
x = 0.5

Simplifying
x = 0.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.6, 0.5}