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Simplifying (m + -3n)(m + -3n) = 0 Multiply (m + -3n) * (m + -3n) (m(m + -3n) + -3n * (m + -3n)) = 0 ((m * m + -3n * m) + -3n * (m + -3n)) = 0 Reorder the terms: ((-3mn + m2) + -3n * (m + -3n)) = 0 ((-3mn + m2) + -3n * (m + -3n)) = 0 (-3mn + m2 + (m * -3n + -3n * -3n)) = 0 (-3mn + m2 + (-3mn + 9n2)) = 0 Reorder the terms: (-3mn + -3mn + m2 + 9n2) = 0 Combine like terms: -3mn + -3mn = -6mn (-6mn + m2 + 9n2) = 0 Solving -6mn + m2 + 9n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -3n)(m + -3n) = 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 + -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 = 3nSolution
m = {3n, 3n}
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