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Simplifying 0 = x3 + -1kx2 + 2kx + -1k + -1 Reorder the terms: 0 = -1 + -1k + 2kx + -1kx2 + x3 Solving 0 = -1 + -1k + 2kx + -1kx2 + x3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 0 + k = -1 + -1k + 2kx + -1kx2 + k + x3 Remove the zero: k = -1 + -1k + 2kx + -1kx2 + k + x3 Reorder the terms: k = -1 + -1k + k + 2kx + -1kx2 + x3 Combine like terms: -1k + k = 0 k = -1 + 0 + 2kx + -1kx2 + x3 k = -1 + 2kx + -1kx2 + x3 Add '-2kx' to each side of the equation. k + -2kx = -1 + 2kx + -1kx2 + -2kx + x3 Reorder the terms: k + -2kx = -1 + 2kx + -2kx + -1kx2 + x3 Combine like terms: 2kx + -2kx = 0 k + -2kx = -1 + 0 + -1kx2 + x3 k + -2kx = -1 + -1kx2 + x3 Add 'kx2' to each side of the equation. k + -2kx + kx2 = -1 + -1kx2 + kx2 + x3 Combine like terms: -1kx2 + kx2 = 0 k + -2kx + kx2 = -1 + 0 + x3 k + -2kx + kx2 = -1 + x3 Reorder the terms: 1 + k + -2kx + kx2 + -1x3 = -1 + x3 + 1 + -1x3 Reorder the terms: 1 + k + -2kx + kx2 + -1x3 = -1 + 1 + x3 + -1x3 Combine like terms: -1 + 1 = 0 1 + k + -2kx + kx2 + -1x3 = 0 + x3 + -1x3 1 + k + -2kx + kx2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 1 + k + -2kx + kx2 + -1x3 = 0 The solution to this equation could not be determined.
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