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Simplifying 81m4 + 72m2n + 16n2 = 0 Reorder the terms: 72m2n + 81m4 + 16n2 = 0 Solving 72m2n + 81m4 + 16n2 = 0 Solving for variable 'm'. Factor a trinomial. (9m2 + 4n)(9m2 + 4n) = 0Subproblem 1
Set the factor '(9m2 + 4n)' equal to zero and attempt to solve: Simplifying 9m2 + 4n = 0 Solving 9m2 + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 9m2 + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 9m2 + 0 = 0 + -4n 9m2 = 0 + -4n Remove the zero: 9m2 = -4n Divide each side by '9'. m2 = -0.4444444444n Simplifying m2 = -0.4444444444n 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 '(9m2 + 4n)' equal to zero and attempt to solve: Simplifying 9m2 + 4n = 0 Solving 9m2 + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 9m2 + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 9m2 + 0 = 0 + -4n 9m2 = 0 + -4n Remove the zero: 9m2 = -4n Divide each side by '9'. m2 = -0.4444444444n Simplifying m2 = -0.4444444444n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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