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Simplifying x2 + 8x + -4k = 0 Reorder the terms: -4k + 8x + x2 = 0 Solving -4k + 8x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8x' to each side of the equation. -4k + 8x + -8x + x2 = 0 + -8x Combine like terms: 8x + -8x = 0 -4k + 0 + x2 = 0 + -8x -4k + x2 = 0 + -8x Remove the zero: -4k + x2 = -8x Add '-1x2' to each side of the equation. -4k + x2 + -1x2 = -8x + -1x2 Combine like terms: x2 + -1x2 = 0 -4k + 0 = -8x + -1x2 -4k = -8x + -1x2 Divide each side by '-4'. k = 2x + 0.25x2 Simplifying k = 2x + 0.25x2
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