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Simplifying (8n + 7m)(7mn) = 0 Reorder the terms: (7m + 8n)(7mn) = 0 Remove parenthesis around (7mn) (7m + 8n) * 7mn = 0 Reorder the terms for easier multiplication: 7mn(7m + 8n) = 0 (7m * 7mn + 8n * 7mn) = 0 Reorder the terms: (56mn2 + 49m2n) = 0 (56mn2 + 49m2n) = 0 Solving 56mn2 + 49m2n = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7mn'. 7mn(8n + 7m) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'mn' equal to zero and attempt to solve: Simplifying mn = 0 Solving mn = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8n + 7m)' equal to zero and attempt to solve: Simplifying 8n + 7m = 0 Reorder the terms: 7m + 8n = 0 Solving 7m + 8n = 0 Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 7m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 7m + 0 = 0 + -8n 7m = 0 + -8n Remove the zero: 7m = -8n Divide each side by '7'. m = -1.142857143n Simplifying m = -1.142857143nSolution
m = {-1.142857143n}
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