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Simplifying 9m2n6 + -24m3n5 + 16m2n4 = 0 Reorder the terms: 16m2n4 + 9m2n6 + -24m3n5 = 0 Solving 16m2n4 + 9m2n6 + -24m3n5 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm2n4'. m2n4(16 + 9n2 + -24mn) = 0Subproblem 1
Set the factor 'm2n4' equal to zero and attempt to solve: Simplifying m2n4 = 0 Solving m2n4 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2n4 = 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 '(16 + 9n2 + -24mn)' equal to zero and attempt to solve: Simplifying 16 + 9n2 + -24mn = 0 Reorder the terms: 16 + -24mn + 9n2 = 0 Solving 16 + -24mn + 9n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -24mn + -16 + 9n2 = 0 + -16 Reorder the terms: 16 + -16 + -24mn + 9n2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -24mn + 9n2 = 0 + -16 -24mn + 9n2 = 0 + -16 Combine like terms: 0 + -16 = -16 -24mn + 9n2 = -16 Add '-9n2' to each side of the equation. -24mn + 9n2 + -9n2 = -16 + -9n2 Combine like terms: 9n2 + -9n2 = 0 -24mn + 0 = -16 + -9n2 -24mn = -16 + -9n2 Divide each side by '-24n'. m = 0.6666666667n-1 + 0.375n Simplifying m = 0.6666666667n-1 + 0.375nSolution
m = {0.6666666667n-1 + 0.375n}
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