5x^2+4x+4=3x+2

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Solution for 5x^2+4x+4=3x+2 equation: 


Simplifying
5x2 + 4x + 4 = 3x + 2

Reorder the terms:
4 + 4x + 5x2 = 3x + 2

Reorder the terms:
4 + 4x + 5x2 = 2 + 3x

Solving
4 + 4x + 5x2 = 2 + 3x

Solving for variable 'x'.

Reorder the terms:
4 + -2 + 4x + -3x + 5x2 = 2 + 3x + -2 + -3x

Combine like terms: 4 + -2 = 2
2 + 4x + -3x + 5x2 = 2 + 3x + -2 + -3x

Combine like terms: 4x + -3x = 1x
2 + 1x + 5x2 = 2 + 3x + -2 + -3x

Reorder the terms:
2 + 1x + 5x2 = 2 + -2 + 3x + -3x

Combine like terms: 2 + -2 = 0
2 + 1x + 5x2 = 0 + 3x + -3x
2 + 1x + 5x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 1x + 5x2 = 0

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

Divide each side by '5'.
0.4 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.2x + -0.4 + x2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.2x + x2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.2x + x2 = 0 + -0.4
0.2x + x2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
0.2x + x2 = -0.4

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -0.4 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -0.4 + 0.01

Combine like terms: -0.4 + 0.01 = -0.39
0.01 + 0.2x + x2 = -0.39

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -0.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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