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Simplifying 3x2 + -4x + k + 2 = 0 Reorder the terms: 2 + k + -4x + 3x2 = 0 Solving 2 + k + -4x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + k + -4x + -2 + 3x2 = 0 + -2 Reorder the terms: 2 + -2 + k + -4x + 3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k + -4x + 3x2 = 0 + -2 k + -4x + 3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 k + -4x + 3x2 = -2 Add '4x' to each side of the equation. k + -4x + 4x + 3x2 = -2 + 4x Combine like terms: -4x + 4x = 0 k + 0 + 3x2 = -2 + 4x k + 3x2 = -2 + 4x Add '-3x2' to each side of the equation. k + 3x2 + -3x2 = -2 + 4x + -3x2 Combine like terms: 3x2 + -3x2 = 0 k + 0 = -2 + 4x + -3x2 k = -2 + 4x + -3x2 Simplifying k = -2 + 4x + -3x2
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