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Simplifying 3x2 + -5x + (2k + -4) = 0 Reorder the terms: 3x2 + -5x + (-4 + 2k) = 0 Remove parenthesis around (-4 + 2k) 3x2 + -5x + -4 + 2k = 0 Reorder the terms: -4 + 2k + -5x + 3x2 = 0 Solving -4 + 2k + -5x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2k + -5x + 4 + 3x2 = 0 + 4 Reorder the terms: -4 + 4 + 2k + -5x + 3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2k + -5x + 3x2 = 0 + 4 2k + -5x + 3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 2k + -5x + 3x2 = 4 Add '5x' to each side of the equation. 2k + -5x + 5x + 3x2 = 4 + 5x Combine like terms: -5x + 5x = 0 2k + 0 + 3x2 = 4 + 5x 2k + 3x2 = 4 + 5x Add '-3x2' to each side of the equation. 2k + 3x2 + -3x2 = 4 + 5x + -3x2 Combine like terms: 3x2 + -3x2 = 0 2k + 0 = 4 + 5x + -3x2 2k = 4 + 5x + -3x2 Divide each side by '2'. k = 2 + 2.5x + -1.5x2 Simplifying k = 2 + 2.5x + -1.5x2
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