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Simplifying (5mn2)(m + n) = 0 Remove parenthesis around (5mn2) 5mn2(m + n) = 0 (m * 5mn2 + n * 5mn2) = 0 Reorder the terms: (5mn3 + 5m2n2) = 0 (5mn3 + 5m2n2) = 0 Solving 5mn3 + 5m2n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5mn2'. 5mn2(n + m) = 0 Ignore the factor 5.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 '(n + m)' equal to zero and attempt to solve: Simplifying n + m = 0 Reorder the terms: m + n = 0 Solving m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 m + 0 = 0 + -1n m = 0 + -1n Remove the zero: m = -1n Simplifying m = -1nSolution
m = {-1n}
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