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Simplifying 3m2 + -21mn + 18n2 = 0 Reorder the terms: -21mn + 3m2 + 18n2 = 0 Solving -21mn + 3m2 + 18n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-7mn + m2 + 6n2) = 0 Factor a trinomial. 3((m + -6n)(m + -1n)) = 0 Ignore the factor 3.Subproblem 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 + -1n)' equal to zero and attempt to solve: Simplifying m + -1n = 0 Solving m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. m + -1n + n = 0 + n Combine like terms: -1n + n = 0 m + 0 = 0 + n m = 0 + n Remove the zero: m = n Simplifying m = nSolution
m = {6n, n}
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