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