4x^2+8x+2mx+4m=0

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Solution for 4x^2+8x+2mx+4m=0 equation: 


Simplifying
4x2 + 8x + 2mx + 4m = 0

Reorder the terms:
4m + 2mx + 8x + 4x2 = 0

Solving
4m + 2mx + 8x + 4x2 = 0

Solving for variable 'm'.

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

Add '-8x' to each side of the equation.
4m + 2mx + 8x + -8x + 4x2 = 0 + -8x

Combine like terms: 8x + -8x = 0
4m + 2mx + 0 + 4x2 = 0 + -8x
4m + 2mx + 4x2 = 0 + -8x
Remove the zero:
4m + 2mx + 4x2 = -8x

Add '-4x2' to each side of the equation.
4m + 2mx + 4x2 + -4x2 = -8x + -4x2

Combine like terms: 4x2 + -4x2 = 0
4m + 2mx + 0 = -8x + -4x2
4m + 2mx = -8x + -4x2

Reorder the terms:
4m + 2mx + 8x + 4x2 = -8x + 8x + -4x2 + 4x2

Combine like terms: -8x + 8x = 0
4m + 2mx + 8x + 4x2 = 0 + -4x2 + 4x2
4m + 2mx + 8x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
4m + 2mx + 8x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2m + mx + 4x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2m + mx + 4x + 2x2)' equal to zero and attempt to solve:

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

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

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

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

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

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

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

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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