x^2-0.4x-0.04=

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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 = 0.08
0.04 + -0.4x + x2 = 0.08

Factor a perfect square on the left side:
(x + -0.2)(x + -0.2) = 0.08

Calculate the square root of the right side: 0.282842712

Break this problem into two subproblems by setting 
(x + -0.2) equal to 0.282842712 and -0.282842712.


Subproblem 1
x + -0.2 = 0.282842712

Simplifying
x + -0.2 = 0.282842712

Reorder the terms:
-0.2 + x = 0.282842712

Solving
-0.2 + x = 0.282842712

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 = 0.282842712 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + x = 0.282842712 + 0.2
x = 0.282842712 + 0.2

Combine like terms: 0.282842712 + 0.2 = 0.482842712
x = 0.482842712

Simplifying
x = 0.482842712


Subproblem 2
x + -0.2 = -0.282842712

Simplifying
x + -0.2 = -0.282842712

Reorder the terms:
-0.2 + x = -0.282842712

Solving
-0.2 + x = -0.282842712

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 = -0.282842712 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + x = -0.282842712 + 0.2
x = -0.282842712 + 0.2

Combine like terms: -0.282842712 + 0.2 = -0.082842712
x = -0.082842712

Simplifying
x = -0.082842712


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.482842712, -0.082842712}

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