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Simplifying x2 + -2(k + -1) * x + 1 = 0 Reorder the terms: x2 + -2(-1 + k) * x + 1 = 0 Reorder the terms for easier multiplication: x2 + -2x(-1 + k) + 1 = 0 x2 + (-1 * -2x + k * -2x) + 1 = 0 Reorder the terms: x2 + (-2kx + 2x) + 1 = 0 x2 + (-2kx + 2x) + 1 = 0 Reorder the terms: 1 + -2kx + 2x + x2 = 0 Solving 1 + -2kx + 2x + 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 + 2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -2kx + 2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2kx + 2x + x2 = 0 + -1 -2kx + 2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2kx + 2x + x2 = -1 Add '-2x' to each side of the equation. -2kx + 2x + -2x + x2 = -1 + -2x Combine like terms: 2x + -2x = 0 -2kx + 0 + x2 = -1 + -2x -2kx + x2 = -1 + -2x Add '-1x2' to each side of the equation. -2kx + x2 + -1x2 = -1 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 -2kx + 0 = -1 + -2x + -1x2 -2kx = -1 + -2x + -1x2 Divide each side by '-2x'. k = 0.5x-1 + 1 + 0.5x Simplifying k = 0.5x-1 + 1 + 0.5x Reorder the terms: k = 1 + 0.5x-1 + 0.5x
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