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Simplifying kx2 + (8 + -1k) * x + 1 = 0 Reorder the terms for easier multiplication: kx2 + x(8 + -1k) + 1 = 0 kx2 + (8 * x + -1k * x) + 1 = 0 Reorder the terms: kx2 + (-1kx + 8x) + 1 = 0 kx2 + (-1kx + 8x) + 1 = 0 Reorder the terms: 1 + -1kx + kx2 + 8x = 0 Solving 1 + -1kx + kx2 + 8x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1kx + kx2 + -1 + 8x = 0 + -1 Reorder the terms: 1 + -1 + -1kx + kx2 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1kx + kx2 + 8x = 0 + -1 -1kx + kx2 + 8x = 0 + -1 Combine like terms: 0 + -1 = -1 -1kx + kx2 + 8x = -1 Add '-8x' to each side of the equation. -1kx + kx2 + 8x + -8x = -1 + -8x Combine like terms: 8x + -8x = 0 -1kx + kx2 + 0 = -1 + -8x -1kx + kx2 = -1 + -8x Reorder the terms: 1 + -1kx + kx2 + 8x = -1 + -8x + 1 + 8x Reorder the terms: 1 + -1kx + kx2 + 8x = -1 + 1 + -8x + 8x Combine like terms: -1 + 1 = 0 1 + -1kx + kx2 + 8x = 0 + -8x + 8x 1 + -1kx + kx2 + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 1 + -1kx + kx2 + 8x = 0 The solution to this equation could not be determined.
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