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Simplifying 5m2 + -20mn + -60n2 = 0 Reorder the terms: -20mn + 5m2 + -60n2 = 0 Solving -20mn + 5m2 + -60n2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5'. 5(-4mn + m2 + -12n2) = 0 Factor a trinomial. 5((m + -6n)(m + 2n)) = 0 Ignore the factor 5.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 + 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 = {6n, -2n}
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