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Simplifying (K + 1) * x2 + -8kx + 3k + 5 = 0 Reorder the terms: (1 + K) * x2 + -8kx + 3k + 5 = 0 Reorder the terms for easier multiplication: x2(1 + K) + -8kx + 3k + 5 = 0 (1 * x2 + K * x2) + -8kx + 3k + 5 = 0 (1x2 + x2K) + -8kx + 3k + 5 = 0 Reorder the terms: 5 + 3k + -8kx + 1x2 + x2K = 0 Solving 5 + 3k + -8kx + 1x2 + x2K = 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 + 3k + -8kx + 1x2 + -5 + x2K = 0 + -5 Reorder the terms: 5 + -5 + 3k + -8kx + 1x2 + x2K = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k + -8kx + 1x2 + x2K = 0 + -5 3k + -8kx + 1x2 + x2K = 0 + -5 Combine like terms: 0 + -5 = -5 3k + -8kx + 1x2 + x2K = -5 Add '-1x2' to each side of the equation. 3k + -8kx + 1x2 + -1x2 + x2K = -5 + -1x2 Combine like terms: 1x2 + -1x2 = 0 3k + -8kx + 0 + x2K = -5 + -1x2 3k + -8kx + x2K = -5 + -1x2 Add '-1x2K' to each side of the equation. 3k + -8kx + x2K + -1x2K = -5 + -1x2 + -1x2K Combine like terms: x2K + -1x2K = 0 3k + -8kx + 0 = -5 + -1x2 + -1x2K 3k + -8kx = -5 + -1x2 + -1x2K Reorder the terms: 5 + 3k + -8kx + x2 + x2K = -5 + -1x2 + -1x2K + 5 + x2 + x2K Reorder the terms: 5 + 3k + -8kx + x2 + x2K = -5 + 5 + -1x2 + x2 + -1x2K + x2K Combine like terms: -5 + 5 = 0 5 + 3k + -8kx + x2 + x2K = 0 + -1x2 + x2 + -1x2K + x2K 5 + 3k + -8kx + x2 + x2K = -1x2 + x2 + -1x2K + x2K Combine like terms: -1x2 + x2 = 0 5 + 3k + -8kx + x2 + x2K = 0 + -1x2K + x2K 5 + 3k + -8kx + x2 + x2K = -1x2K + x2K Combine like terms: -1x2K + x2K = 0 5 + 3k + -8kx + x2 + x2K = 0 The solution to this equation could not be determined.
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