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Simplifying 2m2 + 6mn + -36n2 = 0 Reorder the terms: 6mn + 2m2 + -36n2 = 0 Solving 6mn + 2m2 + -36n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(3mn + m2 + -18n2) = 0 Factor a trinomial. 2((m + -3n)(m + 6n)) = 0 Ignore the factor 2.Subproblem 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 + 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 = {3n, -6n}
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