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Simplifying 18mn2 + -15mn + -12m = 0 Reorder the terms: -12m + -15mn + 18mn2 = 0 Solving -12m + -15mn + 18mn2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-4 + -5n + 6n2) = 0 Factor a trinomial. 3m((-1 + -2n)(4 + -3n)) = 0 Ignore the factor 3.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 '(-1 + -2n)' equal to zero and attempt to solve: Simplifying -1 + -2n = 0 Solving -1 + -2n = 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 + -2n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = 0 + 1 -2n = 0 + 1 Combine like terms: 0 + 1 = 1 -2n = 1 Add '2n' to each side of the equation. -2n + 2n = 1 + 2n Combine like terms: -2n + 2n = 0 0 = 1 + 2n Simplifying 0 = 1 + 2n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -3n)' equal to zero and attempt to solve: Simplifying 4 + -3n = 0 Solving 4 + -3n = 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 + -3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3n = 0 + -4 -3n = 0 + -4 Combine like terms: 0 + -4 = -4 -3n = -4 Add '3n' to each side of the equation. -3n + 3n = -4 + 3n Combine like terms: -3n + 3n = 0 0 = -4 + 3n Simplifying 0 = -4 + 3n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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