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