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Simplifying 3x2 + -6x + -1(2 + -1k) = 0 3x2 + -6x + (2 * -1 + -1k * -1) = 0 3x2 + -6x + (-2 + 1k) = 0 Reorder the terms: -2 + 1k + -6x + 3x2 = 0 Solving -2 + 1k + -6x + 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 + 1k + -6x + 2 + 3x2 = 0 + 2 Reorder the terms: -2 + 2 + 1k + -6x + 3x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1k + -6x + 3x2 = 0 + 2 1k + -6x + 3x2 = 0 + 2 Combine like terms: 0 + 2 = 2 1k + -6x + 3x2 = 2 Add '6x' to each side of the equation. 1k + -6x + 6x + 3x2 = 2 + 6x Combine like terms: -6x + 6x = 0 1k + 0 + 3x2 = 2 + 6x 1k + 3x2 = 2 + 6x Add '-3x2' to each side of the equation. 1k + 3x2 + -3x2 = 2 + 6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 1k + 0 = 2 + 6x + -3x2 1k = 2 + 6x + -3x2 Divide each side by '1'. k = 2 + 6x + -3x2 Simplifying k = 2 + 6x + -3x2
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