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Simplifying (4x + 5)(k + 1) = 0 Reorder the terms: (5 + 4x)(k + 1) = 0 Reorder the terms: (5 + 4x)(1 + k) = 0 Multiply (5 + 4x) * (1 + k) (5(1 + k) + 4x * (1 + k)) = 0 ((1 * 5 + k * 5) + 4x * (1 + k)) = 0 ((5 + 5k) + 4x * (1 + k)) = 0 (5 + 5k + (1 * 4x + k * 4x)) = 0 Reorder the terms: (5 + 5k + (4kx + 4x)) = 0 (5 + 5k + (4kx + 4x)) = 0 (5 + 5k + 4kx + 4x) = 0 Solving 5 + 5k + 4kx + 4x = 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 + 4kx + -5 + 4x = 0 + -5 Reorder the terms: 5 + -5 + 5k + 4kx + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5k + 4kx + 4x = 0 + -5 5k + 4kx + 4x = 0 + -5 Combine like terms: 0 + -5 = -5 5k + 4kx + 4x = -5 Add '-4x' to each side of the equation. 5k + 4kx + 4x + -4x = -5 + -4x Combine like terms: 4x + -4x = 0 5k + 4kx + 0 = -5 + -4x 5k + 4kx = -5 + -4x Reorder the terms: 5 + 5k + 4kx + 4x = -5 + -4x + 5 + 4x Reorder the terms: 5 + 5k + 4kx + 4x = -5 + 5 + -4x + 4x Combine like terms: -5 + 5 = 0 5 + 5k + 4kx + 4x = 0 + -4x + 4x 5 + 5k + 4kx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 5 + 5k + 4kx + 4x = 0 The solution to this equation could not be determined.
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