2x^2+4x+2+m(x+2)=0

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Solution for 2x^2+4x+2+m(x+2)=0 equation: 


Simplifying
2x2 + 4x + 2 + m(x + 2) = 0

Reorder the terms:
2x2 + 4x + 2 + m(2 + x) = 0
2x2 + 4x + 2 + (2 * m + x * m) = 0
2x2 + 4x + 2 + (2m + mx) = 0

Reorder the terms:
2 + 2m + mx + 4x + 2x2 = 0

Solving
2 + 2m + mx + 4x + 2x2 = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + 2m + mx + 4x + -2 + 2x2 = 0 + -2

Reorder the terms:
2 + -2 + 2m + mx + 4x + 2x2 = 0 + -2

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

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

Add '-4x' to each side of the equation.
2m + mx + 4x + -4x + 2x2 = -2 + -4x

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

Add '-2x2' to each side of the equation.
2m + mx + 2x2 + -2x2 = -2 + -4x + -2x2

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

Reorder the terms:
2 + 2m + mx + 4x + 2x2 = -2 + -4x + -2x2 + 2 + 4x + 2x2

Reorder the terms:
2 + 2m + mx + 4x + 2x2 = -2 + 2 + -4x + 4x + -2x2 + 2x2

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

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

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

The solution to this equation could not be determined.

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