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Simplifying (k + -1) * x2 + -1(-1k + 2) * x + k + 1 = 0 Reorder the terms: (-1 + k) * x2 + -1(-1k + 2) * x + k + 1 = 0 Reorder the terms for easier multiplication: x2(-1 + k) + -1(-1k + 2) * x + k + 1 = 0 (-1 * x2 + k * x2) + -1(-1k + 2) * x + k + 1 = 0 Reorder the terms: (kx2 + -1x2) + -1(-1k + 2) * x + k + 1 = 0 (kx2 + -1x2) + -1(-1k + 2) * x + k + 1 = 0 Reorder the terms: kx2 + -1x2 + -1(2 + -1k) * x + k + 1 = 0 Reorder the terms for easier multiplication: kx2 + -1x2 + -1x(2 + -1k) + k + 1 = 0 kx2 + -1x2 + (2 * -1x + -1k * -1x) + k + 1 = 0 Reorder the terms: kx2 + -1x2 + (1kx + -2x) + k + 1 = 0 kx2 + -1x2 + (1kx + -2x) + k + 1 = 0 Reorder the terms: 1 + k + 1kx + kx2 + -2x + -1x2 = 0 Solving 1 + k + 1kx + kx2 + -2x + -1x2 = 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 + k + 1kx + kx2 + -2x + -1 + -1x2 = 0 + -1 Reorder the terms: 1 + -1 + k + 1kx + kx2 + -2x + -1x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k + 1kx + kx2 + -2x + -1x2 = 0 + -1 k + 1kx + kx2 + -2x + -1x2 = 0 + -1 Combine like terms: 0 + -1 = -1 k + 1kx + kx2 + -2x + -1x2 = -1 Add '2x' to each side of the equation. k + 1kx + kx2 + -2x + 2x + -1x2 = -1 + 2x Combine like terms: -2x + 2x = 0 k + 1kx + kx2 + 0 + -1x2 = -1 + 2x k + 1kx + kx2 + -1x2 = -1 + 2x Add 'x2' to each side of the equation. k + 1kx + kx2 + -1x2 + x2 = -1 + 2x + x2 Combine like terms: -1x2 + x2 = 0 k + 1kx + kx2 + 0 = -1 + 2x + x2 k + 1kx + kx2 = -1 + 2x + x2 Reorder the terms: 1 + k + 1kx + kx2 + -2x + -1x2 = -1 + 2x + x2 + 1 + -2x + -1x2 Reorder the terms: 1 + k + 1kx + kx2 + -2x + -1x2 = -1 + 1 + 2x + -2x + x2 + -1x2 Combine like terms: -1 + 1 = 0 1 + k + 1kx + kx2 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2 1 + k + 1kx + kx2 + -2x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 1 + k + 1kx + kx2 + -2x + -1x2 = 0 + x2 + -1x2 1 + k + 1kx + kx2 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + k + 1kx + kx2 + -2x + -1x2 = 0 The solution to this equation could not be determined.
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