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Simplifying x2 + k + -8x + -4k + 15 = 0 Reorder the terms: 15 + k + -4k + -8x + x2 = 0 Combine like terms: k + -4k = -3k 15 + -3k + -8x + x2 = 0 Solving 15 + -3k + -8x + x2 = 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 + -3k + -8x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -3k + -8x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3k + -8x + x2 = 0 + -15 -3k + -8x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -3k + -8x + x2 = -15 Add '8x' to each side of the equation. -3k + -8x + 8x + x2 = -15 + 8x Combine like terms: -8x + 8x = 0 -3k + 0 + x2 = -15 + 8x -3k + x2 = -15 + 8x Add '-1x2' to each side of the equation. -3k + x2 + -1x2 = -15 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 -3k + 0 = -15 + 8x + -1x2 -3k = -15 + 8x + -1x2 Divide each side by '-3'. k = 5 + -2.666666667x + 0.3333333333x2 Simplifying k = 5 + -2.666666667x + 0.3333333333x2
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