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Simplifying (k + 1) * x2 + (6k + 1) * x + 9k = 5 Reorder the terms: (1 + k) * x2 + (6k + 1) * x + 9k = 5 Reorder the terms for easier multiplication: x2(1 + k) + (6k + 1) * x + 9k = 5 (1 * x2 + k * x2) + (6k + 1) * x + 9k = 5 Reorder the terms: (kx2 + 1x2) + (6k + 1) * x + 9k = 5 (kx2 + 1x2) + (6k + 1) * x + 9k = 5 Reorder the terms: kx2 + 1x2 + (1 + 6k) * x + 9k = 5 Reorder the terms for easier multiplication: kx2 + 1x2 + x(1 + 6k) + 9k = 5 kx2 + 1x2 + (1 * x + 6k * x) + 9k = 5 Reorder the terms: kx2 + 1x2 + (6kx + 1x) + 9k = 5 kx2 + 1x2 + (6kx + 1x) + 9k = 5 Reorder the terms: 9k + 6kx + kx2 + 1x + 1x2 = 5 Solving 9k + 6kx + kx2 + 1x + 1x2 = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. 9k + 6kx + kx2 + 1x + -1x + 1x2 = 5 + -1x Combine like terms: 1x + -1x = 0 9k + 6kx + kx2 + 0 + 1x2 = 5 + -1x 9k + 6kx + kx2 + 1x2 = 5 + -1x Add '-1x2' to each side of the equation. 9k + 6kx + kx2 + 1x2 + -1x2 = 5 + -1x + -1x2 Combine like terms: 1x2 + -1x2 = 0 9k + 6kx + kx2 + 0 = 5 + -1x + -1x2 9k + 6kx + kx2 = 5 + -1x + -1x2 Reorder the terms: -5 + 9k + 6kx + kx2 + x + x2 = 5 + -1x + -1x2 + -5 + x + x2 Reorder the terms: -5 + 9k + 6kx + kx2 + x + x2 = 5 + -5 + -1x + x + -1x2 + x2 Combine like terms: 5 + -5 = 0 -5 + 9k + 6kx + kx2 + x + x2 = 0 + -1x + x + -1x2 + x2 -5 + 9k + 6kx + kx2 + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 -5 + 9k + 6kx + kx2 + x + x2 = 0 + -1x2 + x2 -5 + 9k + 6kx + kx2 + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -5 + 9k + 6kx + kx2 + x + x2 = 0 The solution to this equation could not be determined.
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