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Simplifying x2 + 3x + 6k + -1 = 0 Reorder the terms: -1 + 6k + 3x + x2 = 0 Solving -1 + 6k + 3x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6k + 3x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 6k + 3x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6k + 3x + x2 = 0 + 1 6k + 3x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 6k + 3x + x2 = 1 Add '-3x' to each side of the equation. 6k + 3x + -3x + x2 = 1 + -3x Combine like terms: 3x + -3x = 0 6k + 0 + x2 = 1 + -3x 6k + x2 = 1 + -3x Add '-1x2' to each side of the equation. 6k + x2 + -1x2 = 1 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 6k + 0 = 1 + -3x + -1x2 6k = 1 + -3x + -1x2 Divide each side by '6'. k = 0.1666666667 + -0.5x + -0.1666666667x2 Simplifying k = 0.1666666667 + -0.5x + -0.1666666667x2
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