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Simplifying (2mn + 8m2n + -5n + 6m)(10mn2) = 0 Reorder the terms: (6m + 2mn + 8m2n + -5n)(10mn2) = 0 Remove parenthesis around (10mn2) (6m + 2mn + 8m2n + -5n) * 10mn2 = 0 Reorder the terms for easier multiplication: 10mn2(6m + 2mn + 8m2n + -5n) = 0 (6m * 10mn2 + 2mn * 10mn2 + 8m2n * 10mn2 + -5n * 10mn2) = 0 Reorder the terms: (-50mn3 + 60m2n2 + 20m2n3 + 80m3n3) = 0 (-50mn3 + 60m2n2 + 20m2n3 + 80m3n3) = 0 Solving -50mn3 + 60m2n2 + 20m2n3 + 80m3n3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '10mn2'. 10mn2(-5n + 6m + 2mn + 8m2n) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'mn2' equal to zero and attempt to solve: Simplifying mn2 = 0 Solving mn2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mn2 = 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 '(-5n + 6m + 2mn + 8m2n)' equal to zero and attempt to solve: Simplifying -5n + 6m + 2mn + 8m2n = 0 Reorder the terms: 6m + 2mn + 8m2n + -5n = 0 Solving 6m + 2mn + 8m2n + -5n = 0 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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