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Simplifying 2x2 + -3x + k + -1 = 0 Reorder the terms: -1 + k + -3x + 2x2 = 0 Solving -1 + k + -3x + 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 + -3x + 1 + 2x2 = 0 + 1 Reorder the terms: -1 + 1 + k + -3x + 2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + k + -3x + 2x2 = 0 + 1 k + -3x + 2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 k + -3x + 2x2 = 1 Add '3x' to each side of the equation. k + -3x + 3x + 2x2 = 1 + 3x Combine like terms: -3x + 3x = 0 k + 0 + 2x2 = 1 + 3x k + 2x2 = 1 + 3x Add '-2x2' to each side of the equation. k + 2x2 + -2x2 = 1 + 3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 k + 0 = 1 + 3x + -2x2 k = 1 + 3x + -2x2 Simplifying k = 1 + 3x + -2x2
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