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Simplifying (4k + 5)(K + 1) = 0 Reorder the terms: (5 + 4k)(K + 1) = 0 Reorder the terms: (5 + 4k)(1 + K) = 0 Multiply (5 + 4k) * (1 + K) (5(1 + K) + 4k * (1 + K)) = 0 ((1 * 5 + K * 5) + 4k * (1 + K)) = 0 ((5 + 5K) + 4k * (1 + K)) = 0 (5 + 5K + (1 * 4k + K * 4k)) = 0 (5 + 5K + (4k + 4kK)) = 0 (5 + 5K + 4k + 4kK) = 0 Solving 5 + 5K + 4k + 4kK = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 5K + 4k + -5 + 4kK = 0 + -5 Reorder the terms: 5 + -5 + 5K + 4k + 4kK = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5K + 4k + 4kK = 0 + -5 5K + 4k + 4kK = 0 + -5 Combine like terms: 0 + -5 = -5 5K + 4k + 4kK = -5 Add '-4k' to each side of the equation. 5K + 4k + -4k + 4kK = -5 + -4k Combine like terms: 4k + -4k = 0 5K + 0 + 4kK = -5 + -4k 5K + 4kK = -5 + -4k Reorder the terms: 5 + 5K + 4k + 4kK = -5 + -4k + 5 + 4k Reorder the terms: 5 + 5K + 4k + 4kK = -5 + 5 + -4k + 4k Combine like terms: -5 + 5 = 0 5 + 5K + 4k + 4kK = 0 + -4k + 4k 5 + 5K + 4k + 4kK = -4k + 4k Combine like terms: -4k + 4k = 0 5 + 5K + 4k + 4kK = 0 The solution to this equation could not be determined.
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