4mx-m=7(m)

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Solution for 4mx-m=7(m) equation: 


Simplifying
4mx + -1m = 7(m)

Reorder the terms:
-1m + 4mx = 7(m)

Solving
-1m + 4mx = 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-1m + -7m + 4mx = 7m + -7m

Combine like terms: -1m + -7m = -8m
-8m + 4mx = 7m + -7m

Combine like terms: 7m + -7m = 0
-8m + 4mx = 0

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

Ignore the factor 4.

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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

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

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

Combine like terms: 0 + 2 = 2
x = 2

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

Combine like terms: x + -1x = 0
0 = 2 + -1x

Simplifying
0 = 2 + -1x

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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