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Simplifying x2 + -1(k + 1) * x + k + 4 = 0 Reorder the terms: x2 + -1(1 + k) * x + k + 4 = 0 Reorder the terms for easier multiplication: x2 + -1x(1 + k) + k + 4 = 0 x2 + (1 * -1x + k * -1x) + k + 4 = 0 Reorder the terms: x2 + (-1kx + -1x) + k + 4 = 0 x2 + (-1kx + -1x) + k + 4 = 0 Reorder the terms: 4 + k + -1kx + -1x + x2 = 0 Solving 4 + k + -1kx + -1x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + k + -1kx + -1x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + k + -1kx + -1x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k + -1kx + -1x + x2 = 0 + -4 k + -1kx + -1x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 k + -1kx + -1x + x2 = -4 Add 'x' to each side of the equation. k + -1kx + -1x + x + x2 = -4 + x Combine like terms: -1x + x = 0 k + -1kx + 0 + x2 = -4 + x k + -1kx + x2 = -4 + x Add '-1x2' to each side of the equation. k + -1kx + x2 + -1x2 = -4 + x + -1x2 Combine like terms: x2 + -1x2 = 0 k + -1kx + 0 = -4 + x + -1x2 k + -1kx = -4 + x + -1x2 Reorder the terms: 4 + k + -1kx + -1x + x2 = -4 + x + -1x2 + 4 + -1x + x2 Reorder the terms: 4 + k + -1kx + -1x + x2 = -4 + 4 + x + -1x + -1x2 + x2 Combine like terms: -4 + 4 = 0 4 + k + -1kx + -1x + x2 = 0 + x + -1x + -1x2 + x2 4 + k + -1kx + -1x + x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 4 + k + -1kx + -1x + x2 = 0 + -1x2 + x2 4 + k + -1kx + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + k + -1kx + -1x + x2 = 0 The solution to this equation could not be determined.
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