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Simplifying 4m2 + -36mn + 81n2 = 0 Reorder the terms: -36mn + 4m2 + 81n2 = 0 Solving -36mn + 4m2 + 81n2 = 0 Solving for variable 'm'. Factor a trinomial. (2m + -9n)(2m + -9n) = 0Subproblem 1
Set the factor '(2m + -9n)' equal to zero and attempt to solve: Simplifying 2m + -9n = 0 Solving 2m + -9n = 0 Move all terms containing m to the left, all other terms to the right. Add '9n' to each side of the equation. 2m + -9n + 9n = 0 + 9n Combine like terms: -9n + 9n = 0 2m + 0 = 0 + 9n 2m = 0 + 9n Remove the zero: 2m = 9n Divide each side by '2'. m = 4.5n Simplifying m = 4.5nSubproblem 2
Set the factor '(2m + -9n)' equal to zero and attempt to solve: Simplifying 2m + -9n = 0 Solving 2m + -9n = 0 Move all terms containing m to the left, all other terms to the right. Add '9n' to each side of the equation. 2m + -9n + 9n = 0 + 9n Combine like terms: -9n + 9n = 0 2m + 0 = 0 + 9n 2m = 0 + 9n Remove the zero: 2m = 9n Divide each side by '2'. m = 4.5n Simplifying m = 4.5nSolution
m = {4.5n, 4.5n}
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