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Simplifying 4m * 3n + 5m + -3mn + -8m = 0 Reorder the terms for easier multiplication: 4 * 3m * n + 5m + -3mn + -8m = 0 Multiply 4 * 3 12m * n + 5m + -3mn + -8m = 0 Multiply m * n 12mn + 5m + -3mn + -8m = 0 Reorder the terms: 5m + -8m + 12mn + -3mn = 0 Combine like terms: 5m + -8m = -3m -3m + 12mn + -3mn = 0 Combine like terms: 12mn + -3mn = 9mn -3m + 9mn = 0 Solving -3m + 9mn = 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), '3m'. 3m(-1 + 3n) = 0 Ignore the factor 3.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 = 0Subproblem 2
Set the factor '(-1 + 3n)' equal to zero and attempt to solve: Simplifying -1 + 3n = 0 Solving -1 + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = 0 + 1 3n = 0 + 1 Combine like terms: 0 + 1 = 1 3n = 1 Add '-3n' to each side of the equation. 3n + -3n = 1 + -3n Combine like terms: 3n + -3n = 0 0 = 1 + -3n Simplifying 0 = 1 + -3n 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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