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Simplifying x2 + (-6k + -2k) + -6x + -2 = 0 Combine like terms: -6k + -2k = -8k x2 + (-8k) + -6x + -2 = 0 x2 + (-8k) + -6x + -2 = 0 Reorder the terms: -2 + (-8k) + -6x + x2 = 0 Solving -2 + (-8k) + -6x + x2 = 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 + (-8k) + -6x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + (-8k) + -6x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + (-8k) + -6x + x2 = 0 + 2 (-8k) + -6x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 (-8k) + -6x + x2 = 2 Add '6x' to each side of the equation. (-8k) + -6x + 6x + x2 = 2 + 6x Combine like terms: -6x + 6x = 0 (-8k) + 0 + x2 = 2 + 6x (-8k) + x2 = 2 + 6x Add '-1x2' to each side of the equation. (-8k) + x2 + -1x2 = 2 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 (-8k) + 0 = 2 + 6x + -1x2 (-8k) = 2 + 6x + -1x2 Divide each side by '-8'. k = -0.25 + -0.75x + 0.125x2 Simplifying k = -0.25 + -0.75x + 0.125x2
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