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Simplifying 0 = 15m2n2 + -15m3n4 Solving 0 = 15m2n2 + -15m3n4 Solving for variable 'm'. Remove the zero: -15m2n2 + 15m3n4 = 15m2n2 + -15m3n4 + -15m2n2 + 15m3n4 Reorder the terms: -15m2n2 + 15m3n4 = 15m2n2 + -15m2n2 + -15m3n4 + 15m3n4 Combine like terms: 15m2n2 + -15m2n2 = 0 -15m2n2 + 15m3n4 = 0 + -15m3n4 + 15m3n4 -15m2n2 + 15m3n4 = -15m3n4 + 15m3n4 Combine like terms: -15m3n4 + 15m3n4 = 0 -15m2n2 + 15m3n4 = 0 Factor out the Greatest Common Factor (GCF), '15m2n2'. 15m2n2(-1 + mn2) = 0 Ignore the factor 15.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 '(-1 + mn2)' equal to zero and attempt to solve: Simplifying -1 + mn2 = 0 Solving -1 + mn2 = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + mn2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + mn2 = 0 + 1 mn2 = 0 + 1 Combine like terms: 0 + 1 = 1 mn2 = 1 Divide each side by 'n2'. m = n-2 Simplifying m = n-2Solution
m = {n-2}
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