(8+1x)*m=5m

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Solution for (8+1x)*m=5m equation: 


Simplifying
(8 + 1x) * m = 5m

Reorder the terms for easier multiplication:
m(8 + 1x) = 5m
(8 * m + 1x * m) = 5m
(8m + 1mx) = 5m

Solving
8m + 1mx = 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
8m + -5m + 1mx = 5m + -5m

Combine like terms: 8m + -5m = 3m
3m + 1mx = 5m + -5m

Combine like terms: 5m + -5m = 0
3m + 1mx = 0

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


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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Add '-1x' to each side of the equation.
x + -1x = -3 + -1x

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -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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