x*2-2(m+1)x+m*2+2m+2=0

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Solution for x*2-2(m+1)x+m*2+2m+2=0 equation: 


Simplifying
x * 2 + -2(m + 1) * x + m * 2 + 2m + 2 = 0

Reorder the terms for easier multiplication:
2x + -2(m + 1) * x + m * 2 + 2m + 2 = 0

Reorder the terms:
2x + -2(1 + m) * x + m * 2 + 2m + 2 = 0

Reorder the terms for easier multiplication:
2x + -2x(1 + m) + m * 2 + 2m + 2 = 0
2x + (1 * -2x + m * -2x) + m * 2 + 2m + 2 = 0

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

Reorder the terms for easier multiplication:
2x + -2mx + -2x + 2m + 2m + 2 = 0

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

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

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

Solving
2 + 4m + -2mx = 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 + 4m + -2 + -2mx = 0 + -2

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2m + -1mx) = 0

Ignore the factor 2.

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

Simplifying
1 + 2m + -1mx = 0

Solving
1 + 2m + -1mx = 0

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

Add '-1' to each side of the equation.
1 + 2m + -1 + -1mx = 0 + -1

Reorder the terms:
1 + -1 + 2m + -1mx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m + -1mx = 0 + -1
2m + -1mx = 0 + -1

Combine like terms: 0 + -1 = -1
2m + -1mx = -1

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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