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Simplifying x2 + (k + 9) * x + 2k + 6 = 0 Reorder the terms: x2 + (9 + k) * x + 2k + 6 = 0 Reorder the terms for easier multiplication: x2 + x(9 + k) + 2k + 6 = 0 x2 + (9 * x + k * x) + 2k + 6 = 0 Reorder the terms: x2 + (kx + 9x) + 2k + 6 = 0 x2 + (kx + 9x) + 2k + 6 = 0 Reorder the terms: 6 + 2k + kx + 9x + x2 = 0 Solving 6 + 2k + kx + 9x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2k + kx + 9x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 2k + kx + 9x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 2k + kx + 9x + x2 = 0 + -6 2k + kx + 9x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 2k + kx + 9x + x2 = -6 Add '-9x' to each side of the equation. 2k + kx + 9x + -9x + x2 = -6 + -9x Combine like terms: 9x + -9x = 0 2k + kx + 0 + x2 = -6 + -9x 2k + kx + x2 = -6 + -9x Add '-1x2' to each side of the equation. 2k + kx + x2 + -1x2 = -6 + -9x + -1x2 Combine like terms: x2 + -1x2 = 0 2k + kx + 0 = -6 + -9x + -1x2 2k + kx = -6 + -9x + -1x2 Reorder the terms: 6 + 2k + kx + 9x + x2 = -6 + -9x + -1x2 + 6 + 9x + x2 Reorder the terms: 6 + 2k + kx + 9x + x2 = -6 + 6 + -9x + 9x + -1x2 + x2 Combine like terms: -6 + 6 = 0 6 + 2k + kx + 9x + x2 = 0 + -9x + 9x + -1x2 + x2 6 + 2k + kx + 9x + x2 = -9x + 9x + -1x2 + x2 Combine like terms: -9x + 9x = 0 6 + 2k + kx + 9x + x2 = 0 + -1x2 + x2 6 + 2k + kx + 9x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 6 + 2k + kx + 9x + x2 = 0 The solution to this equation could not be determined.
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