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Simplifying 2x2 + -4x + k + 1 = 0 Reorder the terms: 1 + k + -4x + 2x2 = 0 Solving 1 + k + -4x + 2x2 = 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 + 2x2 = 0 + -1 Reorder the terms: 1 + -1 + k + -4x + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k + -4x + 2x2 = 0 + -1 k + -4x + 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 k + -4x + 2x2 = -1 Add '4x' to each side of the equation. k + -4x + 4x + 2x2 = -1 + 4x Combine like terms: -4x + 4x = 0 k + 0 + 2x2 = -1 + 4x k + 2x2 = -1 + 4x Add '-2x2' to each side of the equation. k + 2x2 + -2x2 = -1 + 4x + -2x2 Combine like terms: 2x2 + -2x2 = 0 k + 0 = -1 + 4x + -2x2 k = -1 + 4x + -2x2 Simplifying k = -1 + 4x + -2x2
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