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Simplifying x + -2x2 + -8k + 15 = 0 Reorder the terms: 15 + -8k + x + -2x2 = 0 Solving 15 + -8k + x + -2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -8k + x + -15 + -2x2 = 0 + -15 Reorder the terms: 15 + -15 + -8k + x + -2x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8k + x + -2x2 = 0 + -15 -8k + x + -2x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -8k + x + -2x2 = -15 Add '-1x' to each side of the equation. -8k + x + -1x + -2x2 = -15 + -1x Combine like terms: x + -1x = 0 -8k + 0 + -2x2 = -15 + -1x -8k + -2x2 = -15 + -1x Add '2x2' to each side of the equation. -8k + -2x2 + 2x2 = -15 + -1x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -8k + 0 = -15 + -1x + 2x2 -8k = -15 + -1x + 2x2 Divide each side by '-8'. k = 1.875 + 0.125x + -0.25x2 Simplifying k = 1.875 + 0.125x + -0.25x2
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