11m+16m+(2n+3)m=

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Solution for 11m+16m+(2n+3)m= equation:


Simplifying
11m + 16m + (2n + 3) * m = 0

Reorder the terms:
11m + 16m + (3 + 2n) * m = 0

Reorder the terms for easier multiplication:
11m + 16m + m(3 + 2n) = 0
11m + 16m + (3 * m + 2n * m) = 0
11m + 16m + (3m + 2mn) = 0

Combine like terms: 11m + 16m = 27m
27m + 3m + 2mn = 0

Combine like terms: 27m + 3m = 30m
30m + 2mn = 0

Solving
30m + 2mn = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), '2m'.
2m(15 + n) = 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 '(15 + n)' equal to zero and attempt to solve: Simplifying 15 + n = 0 Solving 15 + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + n = 0 + -15 n = 0 + -15 Combine like terms: 0 + -15 = -15 n = -15 Add '-1n' to each side of the equation. n + -1n = -15 + -1n Combine like terms: n + -1n = 0 0 = -15 + -1n Simplifying 0 = -15 + -1n 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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