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Simplifying kx2 + (k + 8) * x + 9 = 0 Reorder the terms: kx2 + (8 + k) * x + 9 = 0 Reorder the terms for easier multiplication: kx2 + x(8 + k) + 9 = 0 kx2 + (8 * x + k * x) + 9 = 0 Reorder the terms: kx2 + (kx + 8x) + 9 = 0 kx2 + (kx + 8x) + 9 = 0 Reorder the terms: 9 + kx + kx2 + 8x = 0 Solving 9 + kx + kx2 + 8x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + kx + kx2 + -9 + 8x = 0 + -9 Reorder the terms: 9 + -9 + kx + kx2 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + kx + kx2 + 8x = 0 + -9 kx + kx2 + 8x = 0 + -9 Combine like terms: 0 + -9 = -9 kx + kx2 + 8x = -9 Add '-8x' to each side of the equation. kx + kx2 + 8x + -8x = -9 + -8x Combine like terms: 8x + -8x = 0 kx + kx2 + 0 = -9 + -8x kx + kx2 = -9 + -8x Reorder the terms: 9 + kx + kx2 + 8x = -9 + -8x + 9 + 8x Reorder the terms: 9 + kx + kx2 + 8x = -9 + 9 + -8x + 8x Combine like terms: -9 + 9 = 0 9 + kx + kx2 + 8x = 0 + -8x + 8x 9 + kx + kx2 + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 9 + kx + kx2 + 8x = 0 The solution to this equation could not be determined.
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