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Simplifying m2 + 16mn + 48n2 = 0 Reorder the terms: 16mn + m2 + 48n2 = 0 Solving 16mn + m2 + 48n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + 4n)(m + 12n) = 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 + 12n)' equal to zero and attempt to solve: Simplifying m + 12n = 0 Solving m + 12n = 0 Move all terms containing m to the left, all other terms to the right. Add '-12n' to each side of the equation. m + 12n + -12n = 0 + -12n Combine like terms: 12n + -12n = 0 m + 0 = 0 + -12n m = 0 + -12n Remove the zero: m = -12n Simplifying m = -12nSolution
m = {-4n, -12n}
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