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Simplifying 9mn2 + 21mn + -18m = 0 Reorder the terms: -18m + 21mn + 9mn2 = 0 Solving -18m + 21mn + 9mn2 = 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(-6 + 7n + 3n2) = 0 Factor a trinomial. 3m((-3 + -1n)(2 + -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 '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Add 'n' to each side of the equation. -1n + n = 3 + n Combine like terms: -1n + n = 0 0 = 3 + n Simplifying 0 = 3 + n 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 '(2 + -3n)' equal to zero and attempt to solve: Simplifying 2 + -3n = 0 Solving 2 + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = 0 + -2 -3n = 0 + -2 Combine like terms: 0 + -2 = -2 -3n = -2 Add '3n' to each side of the equation. -3n + 3n = -2 + 3n Combine like terms: -3n + 3n = 0 0 = -2 + 3n Simplifying 0 = -2 + 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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