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Simplifying m2 + -6mn + 8n2 = 0 Reorder the terms: -6mn + m2 + 8n2 = 0 Solving -6mn + m2 + 8n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -4n)(m + -2n) = 0Subproblem 1
Set the factor '(m + -4n)' equal to zero and attempt to solve: Simplifying m + -4n = 0 Solving m + -4n = 0 Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. m + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 m + 0 = 0 + 4n m = 0 + 4n Remove the zero: m = 4n Simplifying m = 4nSubproblem 2
Set the factor '(m + -2n)' equal to zero and attempt to solve: Simplifying m + -2n = 0 Solving m + -2n = 0 Move all terms containing m to the left, all other terms to the right. Add '2n' to each side of the equation. m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 m + 0 = 0 + 2n m = 0 + 2n Remove the zero: m = 2n Simplifying m = 2nSolution
m = {4n, 2n}
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