x^2+0.4x+13.4=0

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Solution for x^2+0.4x+13.4=0 equation: 


Simplifying
x2 + 0.4x + 13.4 = 0

Reorder the terms:
13.4 + 0.4x + x2 = 0

Solving
13.4 + 0.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13.4' to each side of the equation.
13.4 + 0.4x + -13.4 + x2 = 0 + -13.4

Reorder the terms:
13.4 + -13.4 + 0.4x + x2 = 0 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + 0.4x + x2 = 0 + -13.4
0.4x + x2 = 0 + -13.4

Combine like terms: 0 + -13.4 = -13.4
0.4x + x2 = -13.4

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 = -13.4 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -13.4 + 0.04

Combine like terms: -13.4 + 0.04 = -13.36
0.04 + 0.4x + x2 = -13.36

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -13.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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