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Simplifying x3 + kx2 + -1kx + -1k + -1 = 0 Reorder the terms: -1 + -1k + -1kx + kx2 + x3 = 0 Solving -1 + -1k + -1kx + kx2 + x3 = 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 + -1k + -1kx + kx2 + 1 + x3 = 0 + 1 Reorder the terms: -1 + 1 + -1k + -1kx + kx2 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1k + -1kx + kx2 + x3 = 0 + 1 -1k + -1kx + kx2 + x3 = 0 + 1 Combine like terms: 0 + 1 = 1 -1k + -1kx + kx2 + x3 = 1 Add '-1x3' to each side of the equation. -1k + -1kx + kx2 + x3 + -1x3 = 1 + -1x3 Combine like terms: x3 + -1x3 = 0 -1k + -1kx + kx2 + 0 = 1 + -1x3 -1k + -1kx + kx2 = 1 + -1x3 Reorder the terms: -1 + -1k + -1kx + kx2 + x3 = 1 + -1x3 + -1 + x3 Reorder the terms: -1 + -1k + -1kx + kx2 + x3 = 1 + -1 + -1x3 + x3 Combine like terms: 1 + -1 = 0 -1 + -1k + -1kx + kx2 + x3 = 0 + -1x3 + x3 -1 + -1k + -1kx + kx2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -1 + -1k + -1kx + kx2 + x3 = 0 The solution to this equation could not be determined.
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