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Simplifying m2 + -3mn + -54n2 = 0 Reorder the terms: -3mn + m2 + -54n2 = 0 Solving -3mn + m2 + -54n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -9n)(m + 6n) = 0Subproblem 1
Set the factor '(m + -9n)' equal to zero and attempt to solve: Simplifying m + -9n = 0 Solving m + -9n = 0 Move all terms containing m to the left, all other terms to the right. Add '9n' to each side of the equation. m + -9n + 9n = 0 + 9n Combine like terms: -9n + 9n = 0 m + 0 = 0 + 9n m = 0 + 9n Remove the zero: m = 9n Simplifying m = 9nSubproblem 2
Set the factor '(m + 6n)' equal to zero and attempt to solve: Simplifying m + 6n = 0 Solving m + 6n = 0 Move all terms containing m to the left, all other terms to the right. Add '-6n' to each side of the equation. m + 6n + -6n = 0 + -6n Combine like terms: 6n + -6n = 0 m + 0 = 0 + -6n m = 0 + -6n Remove the zero: m = -6n Simplifying m = -6nSolution
m = {9n, -6n}
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