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Simplifying (m + 6n)(m + 6n) = 0 Multiply (m + 6n) * (m + 6n) (m(m + 6n) + 6n * (m + 6n)) = 0 ((m * m + 6n * m) + 6n * (m + 6n)) = 0 Reorder the terms: ((6mn + m2) + 6n * (m + 6n)) = 0 ((6mn + m2) + 6n * (m + 6n)) = 0 (6mn + m2 + (m * 6n + 6n * 6n)) = 0 (6mn + m2 + (6mn + 36n2)) = 0 Reorder the terms: (6mn + 6mn + m2 + 36n2) = 0 Combine like terms: 6mn + 6mn = 12mn (12mn + m2 + 36n2) = 0 Solving 12mn + m2 + 36n2 = 0 Solving for variable 'm'. Factor a trinomial. (m + 6n)(m + 6n) = 0Subproblem 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 + 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 = {-6n, -6n}
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