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Simplifying (K + -1) * x2 + kx + 1 = 0 Reorder the terms: (-1 + K) * x2 + kx + 1 = 0 Reorder the terms for easier multiplication: x2(-1 + K) + kx + 1 = 0 (-1 * x2 + K * x2) + kx + 1 = 0 (-1x2 + x2K) + kx + 1 = 0 Reorder the terms: 1 + kx + -1x2 + x2K = 0 Solving 1 + kx + -1x2 + x2K = 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 + kx + -1x2 + -1 + x2K = 0 + -1 Reorder the terms: 1 + -1 + kx + -1x2 + x2K = 0 + -1 Combine like terms: 1 + -1 = 0 0 + kx + -1x2 + x2K = 0 + -1 kx + -1x2 + x2K = 0 + -1 Combine like terms: 0 + -1 = -1 kx + -1x2 + x2K = -1 Add 'x2' to each side of the equation. kx + -1x2 + x2 + x2K = -1 + x2 Combine like terms: -1x2 + x2 = 0 kx + 0 + x2K = -1 + x2 kx + x2K = -1 + x2 Add '-1x2K' to each side of the equation. kx + x2K + -1x2K = -1 + x2 + -1x2K Combine like terms: x2K + -1x2K = 0 kx + 0 = -1 + x2 + -1x2K kx = -1 + x2 + -1x2K Divide each side by 'x'. k = -1x-1 + x + -1xK Simplifying k = -1x-1 + x + -1xK
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