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Simplifying (4m + 5n)(4m + -5m) = 0 Combine like terms: 4m + -5m = -1m (4m + 5n)(-1m) = 0 Remove parenthesis around (-1m) (4m + 5n) * -1m = 0 Reorder the terms for easier multiplication: -1m(4m + 5n) = 0 (4m * -1m + 5n * -1m) = 0 Reorder the terms: (-5mn + -4m2) = 0 (-5mn + -4m2) = 0 Solving -5mn + -4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-1m'. -1m(5n + 4m) = 0 Ignore the factor -1.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 '(5n + 4m)' equal to zero and attempt to solve: Simplifying 5n + 4m = 0 Reorder the terms: 4m + 5n = 0 Solving 4m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 4m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 4m + 0 = 0 + -5n 4m = 0 + -5n Remove the zero: 4m = -5n Divide each side by '4'. m = -1.25n Simplifying m = -1.25nSolution
m = {0, -1.25n}
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