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