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Simplifying x2 + -2kx + -1 = 0 Reorder the terms: -1 + -2kx + x2 = 0 Solving -1 + -2kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2kx + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -2kx + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2kx + x2 = 0 + 1 -2kx + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2kx + x2 = 1 Add '-1x2' to each side of the equation. -2kx + x2 + -1x2 = 1 + -1x2 Combine like terms: x2 + -1x2 = 0 -2kx + 0 = 1 + -1x2 -2kx = 1 + -1x2 Divide each side by '-2x'. k = -0.5x-1 + 0.5x Simplifying k = -0.5x-1 + 0.5x
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