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Simplifying Kx2 + -1(k + 1) * x + 1 = 0 Reorder the terms: x2K + -1(1 + k) * x + 1 = 0 Reorder the terms for easier multiplication: x2K + -1x(1 + k) + 1 = 0 x2K + (1 * -1x + k * -1x) + 1 = 0 Reorder the terms: x2K + (-1kx + -1x) + 1 = 0 x2K + (-1kx + -1x) + 1 = 0 Reorder the terms: 1 + -1kx + -1x + x2K = 0 Solving 1 + -1kx + -1x + 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 + -1kx + -1x + -1 + x2K = 0 + -1 Reorder the terms: 1 + -1 + -1kx + -1x + x2K = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1kx + -1x + x2K = 0 + -1 -1kx + -1x + x2K = 0 + -1 Combine like terms: 0 + -1 = -1 -1kx + -1x + x2K = -1 Add 'x' to each side of the equation. -1kx + -1x + x + x2K = -1 + x Combine like terms: -1x + x = 0 -1kx + 0 + x2K = -1 + x -1kx + x2K = -1 + x Add '-1x2K' to each side of the equation. -1kx + x2K + -1x2K = -1 + x + -1x2K Combine like terms: x2K + -1x2K = 0 -1kx + 0 = -1 + x + -1x2K -1kx = -1 + x + -1x2K Divide each side by '-1x'. k = x-1 + -1 + xK Simplifying k = x-1 + -1 + xK Reorder the terms: k = -1 + x-1 + xK
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