=x^2+0.4x+4

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Solution for =x^2+0.4x+4 equation:


Simplifying
0 = x2 + 0.4x + 4

Reorder the terms:
0 = 4 + 0.4x + x2

Solving
0 = 4 + 0.4x + x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + -0.4x + -1x2 = 4 + 0.4x + x2 + -4 + -0.4x + -1x2

Reorder the terms:
-4 + -0.4x + -1x2 = 4 + -4 + 0.4x + -0.4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-4 + -0.4x + -1x2 = 0 + 0.4x + -0.4x + x2 + -1x2
-4 + -0.4x + -1x2 = 0.4x + -0.4x + x2 + -1x2

Combine like terms: 0.4x + -0.4x = 0.0
-4 + -0.4x + -1x2 = 0.0 + x2 + -1x2
-4 + -0.4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + -0.4x + -1x2 = 0

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

Divide each side by '-1'.
4 + 0.4x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 0.4x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 0.4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 0.4x + x2 = 0 + -4
0.4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
0.4x + x2 = -4

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 = -4 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -4 + 0.04

Combine like terms: -4 + 0.04 = -3.96
0.04 + 0.4x + x2 = -3.96

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -3.96

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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