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