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Simplifying 2x2 + 5x + (3 + -3k) = 0 Remove parenthesis around (3 + -3k) 2x2 + 5x + 3 + -3k = 0 Reorder the terms: 3 + -3k + 5x + 2x2 = 0 Solving 3 + -3k + 5x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3k + 5x + -3 + 2x2 = 0 + -3 Reorder the terms: 3 + -3 + -3k + 5x + 2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3k + 5x + 2x2 = 0 + -3 -3k + 5x + 2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -3k + 5x + 2x2 = -3 Add '-5x' to each side of the equation. -3k + 5x + -5x + 2x2 = -3 + -5x Combine like terms: 5x + -5x = 0 -3k + 0 + 2x2 = -3 + -5x -3k + 2x2 = -3 + -5x Add '-2x2' to each side of the equation. -3k + 2x2 + -2x2 = -3 + -5x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3k + 0 = -3 + -5x + -2x2 -3k = -3 + -5x + -2x2 Divide each side by '-3'. k = 1 + 1.666666667x + 0.6666666667x2 Simplifying k = 1 + 1.666666667x + 0.6666666667x2
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