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Simplifying 4x2 + -5x + -1 + k = 0 Reorder the terms: -1 + k + -5x + 4x2 = 0 Solving -1 + k + -5x + 4x2 = 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 + -5x + 1 + 4x2 = 0 + 1 Reorder the terms: -1 + 1 + k + -5x + 4x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + k + -5x + 4x2 = 0 + 1 k + -5x + 4x2 = 0 + 1 Combine like terms: 0 + 1 = 1 k + -5x + 4x2 = 1 Add '5x' to each side of the equation. k + -5x + 5x + 4x2 = 1 + 5x Combine like terms: -5x + 5x = 0 k + 0 + 4x2 = 1 + 5x k + 4x2 = 1 + 5x Add '-4x2' to each side of the equation. k + 4x2 + -4x2 = 1 + 5x + -4x2 Combine like terms: 4x2 + -4x2 = 0 k + 0 = 1 + 5x + -4x2 k = 1 + 5x + -4x2 Simplifying k = 1 + 5x + -4x2
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