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Simplifying 3x2 + 6x + -9 + 2k + -4 = 0 Reorder the terms: -9 + -4 + 2k + 6x + 3x2 = 0 Combine like terms: -9 + -4 = -13 -13 + 2k + 6x + 3x2 = 0 Solving -13 + 2k + 6x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 2k + 6x + 13 + 3x2 = 0 + 13 Reorder the terms: -13 + 13 + 2k + 6x + 3x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2k + 6x + 3x2 = 0 + 13 2k + 6x + 3x2 = 0 + 13 Combine like terms: 0 + 13 = 13 2k + 6x + 3x2 = 13 Add '-6x' to each side of the equation. 2k + 6x + -6x + 3x2 = 13 + -6x Combine like terms: 6x + -6x = 0 2k + 0 + 3x2 = 13 + -6x 2k + 3x2 = 13 + -6x Add '-3x2' to each side of the equation. 2k + 3x2 + -3x2 = 13 + -6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 2k + 0 = 13 + -6x + -3x2 2k = 13 + -6x + -3x2 Divide each side by '2'. k = 6.5 + -3x + -1.5x2 Simplifying k = 6.5 + -3x + -1.5x2
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