x^2-0.4x+.04=

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Solution for x^2-0.4x+.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}

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