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Simplifying m2 + -12mn + 36n2 = 0 Reorder the terms: -12mn + m2 + 36n2 = 0 Solving -12mn + m2 + 36n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -6n)(m + -6n) = 0Subproblem 1
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 = 6nSubproblem 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 = {6n, 6n}
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