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