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Simplifying (m + -1n)(-7m) = 0 Remove parenthesis around (-7m) (m + -1n) * -7m = 0 Reorder the terms for easier multiplication: -7m(m + -1n) = 0 (m * -7m + -1n * -7m) = 0 Reorder the terms: (7mn + -7m2) = 0 (7mn + -7m2) = 0 Solving 7mn + -7m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7m'. 7m(n + -1m) = 0 Ignore the factor 7.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 '(n + -1m)' equal to zero and attempt to solve: Simplifying n + -1m = 0 Reorder the terms: -1m + n = 0 Solving -1m + n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. -1m + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 -1m + 0 = 0 + -1n -1m = 0 + -1n Remove the zero: -1m = -1n Divide each side by '-1'. m = n Simplifying m = nSolution
m = {0, n}
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