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Simplifying 9m2n2 + 12mn + 4 = 0 Reorder the terms: 4 + 12mn + 9m2n2 = 0 Solving 4 + 12mn + 9m2n2 = 0 Solving for variable 'm'. Factor a trinomial. (2 + 3mn)(2 + 3mn) = 0Subproblem 1
Set the factor '(2 + 3mn)' equal to zero and attempt to solve: Simplifying 2 + 3mn = 0 Solving 2 + 3mn = 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 + 3mn = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3mn = 0 + -2 3mn = 0 + -2 Combine like terms: 0 + -2 = -2 3mn = -2 Divide each side by '3n'. m = -0.6666666667n-1 Simplifying m = -0.6666666667n-1Subproblem 2
Set the factor '(2 + 3mn)' equal to zero and attempt to solve: Simplifying 2 + 3mn = 0 Solving 2 + 3mn = 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 + 3mn = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3mn = 0 + -2 3mn = 0 + -2 Combine like terms: 0 + -2 = -2 3mn = -2 Divide each side by '3n'. m = -0.6666666667n-1 Simplifying m = -0.6666666667n-1Solution
m = {-0.6666666667n-1, -0.6666666667n-1}
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