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Simplifying m2 + 20mn + 51n2 = 0 Reorder the terms: 20mn + m2 + 51n2 = 0 Solving 20mn + m2 + 51n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + 3n)(m + 17n) = 0Subproblem 1
Set the factor '(m + 3n)' equal to zero and attempt to solve: Simplifying m + 3n = 0 Solving m + 3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-3n' to each side of the equation. m + 3n + -3n = 0 + -3n Combine like terms: 3n + -3n = 0 m + 0 = 0 + -3n m = 0 + -3n Remove the zero: m = -3n Simplifying m = -3nSubproblem 2
Set the factor '(m + 17n)' equal to zero and attempt to solve: Simplifying m + 17n = 0 Solving m + 17n = 0 Move all terms containing m to the left, all other terms to the right. Add '-17n' to each side of the equation. m + 17n + -17n = 0 + -17n Combine like terms: 17n + -17n = 0 m + 0 = 0 + -17n m = 0 + -17n Remove the zero: m = -17n Simplifying m = -17nSolution
m = {-3n, -17n}
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