4xm+4xm=2(x+5)m

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Solution for 4xm+4xm=2(x+5)m equation: 


Simplifying
4xm + 4xm = 2(x + 5) * m

Combine like terms: 4mx + 4mx = 8mx
8mx = 2(x + 5) * m

Reorder the terms:
8mx = 2(5 + x) * m

Reorder the terms for easier multiplication:
8mx = 2m(5 + x)
8mx = (5 * 2m + x * 2m)
8mx = (10m + 2mx)

Solving
8mx = 10m + 2mx

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
-10m + 8mx = 10m + -10m + 2mx

Combine like terms: 10m + -10m = 0
-10m + 8mx = 0 + 2mx
-10m + 8mx = 2mx

Add '-2mx' to each side of the equation.
-10m + 8mx + -2mx = 2mx + -2mx

Combine like terms: 8mx + -2mx = 6mx
-10m + 6mx = 2mx + -2mx

Combine like terms: 2mx + -2mx = 0
-10m + 6mx = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(-5 + 3x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-5 + 3x)' equal to zero and attempt to solve:

Simplifying
-5 + 3x = 0

Solving
-5 + 3x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 0 + 5
3x = 0 + 5

Combine like terms: 0 + 5 = 5
3x = 5

Add '-3x' to each side of the equation.
3x + -3x = 5 + -3x

Combine like terms: 3x + -3x = 0
0 = 5 + -3x

Simplifying
0 = 5 + -3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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