x^2-0.4x+0.04=

Solution for x^2-0.4x+0.04= equation:

Simplifying
x2 + -0.4x + 0.04 = 0

Reorder the terms:
0.04 + -0.4x + x2 = 0

Solving
0.04 + -0.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.04' to each side of the equation.
0.04 + -0.4x + -0.04 + x2 = 0 + -0.04

Reorder the terms:
0.04 + -0.04 + -0.4x + x2 = 0 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + -0.4x + x2 = 0 + -0.04
-0.4x + x2 = 0 + -0.04

Combine like terms: 0 + -0.04 = -0.04
-0.4x + x2 = -0.04

The x term is -0.4x.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4x + 0.04 + x2 = -0.04 + 0.04

Reorder the terms:
0.04 + -0.4x + x2 = -0.04 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.04 + -0.4x + x2 = 0.00

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(x + -0.2) equal to 0.00 and 0.00.

Subproblem 1
x + -0.2 = 0.00

Simplifying
x + -0.2 = 0.00

Reorder the terms:
-0.2 + x = 0.00

Solving
-0.2 + x = 0.00

Solving for variable 'x'.

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + x = 0.00 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + x = 0.00 + 0.2
x = 0.00 + 0.2

Combine like terms: 0.00 + 0.2 = 0.2
x = 0.2

Simplifying
x = 0.2

Subproblem 2
x + -0.2 = 0.00

Simplifying
x + -0.2 = 0.00

Reorder the terms:
-0.2 + x = 0.00

Solving
-0.2 + x = 0.00

Solving for variable 'x'.

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + x = 0.00 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + x = 0.00 + 0.2
x = 0.00 + 0.2

Combine like terms: 0.00 + 0.2 = 0.2
x = 0.2

Simplifying
x = 0.2

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.2, 0.2}