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Simplifying 5m + 3n + -4mn + -10m + -8n = 0 Reorder the terms: 5m + -10m + -4mn + 3n + -8n = 0 Combine like terms: 5m + -10m = -5m -5m + -4mn + 3n + -8n = 0 Combine like terms: 3n + -8n = -5n -5m + -4mn + -5n = 0 Solving -5m + -4mn + -5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. -5m + -4mn + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 -5m + -4mn + 0 = 0 + 5n -5m + -4mn = 0 + 5n Remove the zero: -5m + -4mn = 5n Combine like terms: 5n + -5n = 0 -5m + -4mn + -5n = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5m + 4mn + 5n) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5m + 4mn + 5n)' equal to zero and attempt to solve: Simplifying 5m + 4mn + 5n = 0 Solving 5m + 4mn + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 5m + 4mn + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 5m + 4mn + 0 = 0 + -5n 5m + 4mn = 0 + -5n Remove the zero: 5m + 4mn = -5n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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