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Simplifying n(2n + 1)(7n + 1) = 6k Reorder the terms: n(1 + 2n)(7n + 1) = 6k Reorder the terms: n(1 + 2n)(1 + 7n) = 6k Multiply (1 + 2n) * (1 + 7n) n(1(1 + 7n) + 2n * (1 + 7n)) = 6k n((1 * 1 + 7n * 1) + 2n * (1 + 7n)) = 6k n((1 + 7n) + 2n * (1 + 7n)) = 6k n(1 + 7n + (1 * 2n + 7n * 2n)) = 6k n(1 + 7n + (2n + 14n2)) = 6k Combine like terms: 7n + 2n = 9n n(1 + 9n + 14n2) = 6k (1 * n + 9n * n + 14n2 * n) = 6k (1n + 9n2 + 14n3) = 6k Solving 1n + 9n2 + 14n3 = 6k Solving for variable 'n'. Reorder the terms: -6k + 1n + 9n2 + 14n3 = 6k + -6k Combine like terms: 6k + -6k = 0 -6k + 1n + 9n2 + 14n3 = 0 The solution to this equation could not be determined.
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