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Simplifying x3 + -1kx2 + kx + 8 = 0 Reorder the terms: 8 + kx + -1kx2 + x3 = 0 Solving 8 + kx + -1kx2 + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + kx + -1kx2 + -8 + x3 = 0 + -8 Reorder the terms: 8 + -8 + kx + -1kx2 + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + kx + -1kx2 + x3 = 0 + -8 kx + -1kx2 + x3 = 0 + -8 Combine like terms: 0 + -8 = -8 kx + -1kx2 + x3 = -8 Add '-1x3' to each side of the equation. kx + -1kx2 + x3 + -1x3 = -8 + -1x3 Combine like terms: x3 + -1x3 = 0 kx + -1kx2 + 0 = -8 + -1x3 kx + -1kx2 = -8 + -1x3 Reorder the terms: 8 + kx + -1kx2 + x3 = -8 + -1x3 + 8 + x3 Reorder the terms: 8 + kx + -1kx2 + x3 = -8 + 8 + -1x3 + x3 Combine like terms: -8 + 8 = 0 8 + kx + -1kx2 + x3 = 0 + -1x3 + x3 8 + kx + -1kx2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 8 + kx + -1kx2 + x3 = 0 The solution to this equation could not be determined.
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