5x^2=-2x-2

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Solution for 5x^2=-2x-2 equation:


Simplifying
5x2 = -2x + -2

Reorder the terms:
5x2 = -2 + -2x

Solving
5x2 = -2 + -2x

Solving for variable 'x'.

Reorder the terms:
2 + 2x + 5x2 = -2 + -2x + 2 + 2x

Reorder the terms:
2 + 2x + 5x2 = -2 + 2 + -2x + 2x

Combine like terms: -2 + 2 = 0
2 + 2x + 5x2 = 0 + -2x + 2x
2 + 2x + 5x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 2x + 5x2 = 0

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

Divide each side by '5'.
0.4 + 0.4x + x2 = 0

Move the constant term to the right:

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

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

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

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

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 = -0.4 + 0.04

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

Combine like terms: -0.4 + 0.04 = -0.36
0.04 + 0.4x + x2 = -0.36

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -0.36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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