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Simplifying (3n + 2)(4m + 5) = 0 Reorder the terms: (2 + 3n)(4m + 5) = 0 Reorder the terms: (2 + 3n)(5 + 4m) = 0 Multiply (2 + 3n) * (5 + 4m) (2(5 + 4m) + 3n * (5 + 4m)) = 0 ((5 * 2 + 4m * 2) + 3n * (5 + 4m)) = 0 ((10 + 8m) + 3n * (5 + 4m)) = 0 (10 + 8m + (5 * 3n + 4m * 3n)) = 0 Reorder the terms: (10 + 8m + (12mn + 15n)) = 0 (10 + 8m + (12mn + 15n)) = 0 (10 + 8m + 12mn + 15n) = 0 Solving 10 + 8m + 12mn + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 8m + 12mn + -10 + 15n = 0 + -10 Reorder the terms: 10 + -10 + 8m + 12mn + 15n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 8m + 12mn + 15n = 0 + -10 8m + 12mn + 15n = 0 + -10 Combine like terms: 0 + -10 = -10 8m + 12mn + 15n = -10 Add '-15n' to each side of the equation. 8m + 12mn + 15n + -15n = -10 + -15n Combine like terms: 15n + -15n = 0 8m + 12mn + 0 = -10 + -15n 8m + 12mn = -10 + -15n Reorder the terms: 10 + 8m + 12mn + 15n = -10 + -15n + 10 + 15n Reorder the terms: 10 + 8m + 12mn + 15n = -10 + 10 + -15n + 15n Combine like terms: -10 + 10 = 0 10 + 8m + 12mn + 15n = 0 + -15n + 15n 10 + 8m + 12mn + 15n = -15n + 15n Combine like terms: -15n + 15n = 0 10 + 8m + 12mn + 15n = 0 The solution to this equation could not be determined.
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