2x^2+6x+4=-2+2x

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Solution for 2x^2+6x+4=-2+2x equation: 


Simplifying
2x2 + 6x + 4 = -2 + 2x

Reorder the terms:
4 + 6x + 2x2 = -2 + 2x

Solving
4 + 6x + 2x2 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
4 + 2 + 6x + -2x + 2x2 = -2 + 2x + 2 + -2x

Combine like terms: 4 + 2 = 6
6 + 6x + -2x + 2x2 = -2 + 2x + 2 + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x + 2x2 = -2 + 2x + 2 + -2x

Reorder the terms:
6 + 4x + 2x2 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
6 + 4x + 2x2 = 0 + 2x + -2x
6 + 4x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
3 + 2x + x2 = 0

Solving
3 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + 2x + x2 = 0 + -3

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

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

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -3 + 1

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

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

Factor a perfect square on the left side:
(x + 1)(x + 1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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