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Simplifying x2 + -4x + (k + 1) = 0 Reorder the terms: x2 + -4x + (1 + k) = 0 Remove parenthesis around (1 + k) x2 + -4x + 1 + k = 0 Reorder the terms: 1 + k + -4x + x2 = 0 Solving 1 + k + -4x + x2 = 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 + k + -4x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + k + -4x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k + -4x + x2 = 0 + -1 k + -4x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 k + -4x + x2 = -1 Add '4x' to each side of the equation. k + -4x + 4x + x2 = -1 + 4x Combine like terms: -4x + 4x = 0 k + 0 + x2 = -1 + 4x k + x2 = -1 + 4x Add '-1x2' to each side of the equation. k + x2 + -1x2 = -1 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 k + 0 = -1 + 4x + -1x2 k = -1 + 4x + -1x2 Simplifying k = -1 + 4x + -1x2
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