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Simplifying x2 + x + -54 + -8k = 0 Reorder the terms: -54 + -8k + x + x2 = 0 Solving -54 + -8k + x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54' to each side of the equation. -54 + -8k + x + 54 + x2 = 0 + 54 Reorder the terms: -54 + 54 + -8k + x + x2 = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -8k + x + x2 = 0 + 54 -8k + x + x2 = 0 + 54 Combine like terms: 0 + 54 = 54 -8k + x + x2 = 54 Add '-1x' to each side of the equation. -8k + x + -1x + x2 = 54 + -1x Combine like terms: x + -1x = 0 -8k + 0 + x2 = 54 + -1x -8k + x2 = 54 + -1x Add '-1x2' to each side of the equation. -8k + x2 + -1x2 = 54 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 -8k + 0 = 54 + -1x + -1x2 -8k = 54 + -1x + -1x2 Divide each side by '-8'. k = -6.75 + 0.125x + 0.125x2 Simplifying k = -6.75 + 0.125x + 0.125x2
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