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Simplifying x2 + (k + 1) * x + 2k = 0 Reorder the terms: x2 + (1 + k) * x + 2k = 0 Reorder the terms for easier multiplication: x2 + x(1 + k) + 2k = 0 x2 + (1 * x + k * x) + 2k = 0 Reorder the terms: x2 + (kx + 1x) + 2k = 0 x2 + (kx + 1x) + 2k = 0 Reorder the terms: 2k + kx + 1x + x2 = 0 Solving 2k + kx + 1x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x' to each side of the equation. 2k + kx + 1x + -1x + x2 = 0 + -1x Combine like terms: 1x + -1x = 0 2k + kx + 0 + x2 = 0 + -1x 2k + kx + x2 = 0 + -1x Remove the zero: 2k + kx + x2 = -1x Add '-1x2' to each side of the equation. 2k + kx + x2 + -1x2 = -1x + -1x2 Combine like terms: x2 + -1x2 = 0 2k + kx + 0 = -1x + -1x2 2k + kx = -1x + -1x2 Reorder the terms: 2k + kx + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 2k + kx + x + x2 = 0 + -1x2 + x2 2k + kx + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2k + kx + x + x2 = 0 The solution to this equation could not be determined.
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