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Simplifying 12m4n2 + 44m3n2 + -80m2n2 = 0 Reorder the terms: -80m2n2 + 44m3n2 + 12m4n2 = 0 Solving -80m2n2 + 44m3n2 + 12m4n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m2n2'. 4m2n2(-20 + 11m + 3m2) = 0 Factor a trinomial. 4m2n2((-5 + -1m)(4 + -3m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm2n2' equal to zero and attempt to solve: Simplifying m2n2 = 0 Solving m2n2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2n2 = 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 '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 3
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {-5, 1.333333333}
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