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Simplifying x2 + kx + 8x + 9k = 0 Reorder the terms: 9k + kx + 8x + x2 = 0 Solving 9k + kx + 8x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8x' to each side of the equation. 9k + kx + 8x + -8x + x2 = 0 + -8x Combine like terms: 8x + -8x = 0 9k + kx + 0 + x2 = 0 + -8x 9k + kx + x2 = 0 + -8x Remove the zero: 9k + kx + x2 = -8x Add '-1x2' to each side of the equation. 9k + kx + x2 + -1x2 = -8x + -1x2 Combine like terms: x2 + -1x2 = 0 9k + kx + 0 = -8x + -1x2 9k + kx = -8x + -1x2 Reorder the terms: 9k + kx + 8x + x2 = -8x + 8x + -1x2 + x2 Combine like terms: -8x + 8x = 0 9k + kx + 8x + x2 = 0 + -1x2 + x2 9k + kx + 8x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 9k + kx + 8x + x2 = 0 The solution to this equation could not be determined.
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