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Simplifying x2 + -1(k + 1) * x + 3 = 0 Reorder the terms: x2 + -1(1 + k) * x + 3 = 0 Reorder the terms for easier multiplication: x2 + -1x(1 + k) + 3 = 0 x2 + (1 * -1x + k * -1x) + 3 = 0 Reorder the terms: x2 + (-1kx + -1x) + 3 = 0 x2 + (-1kx + -1x) + 3 = 0 Reorder the terms: 3 + -1kx + -1x + x2 = 0 Solving 3 + -1kx + -1x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1kx + -1x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -1kx + -1x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1kx + -1x + x2 = 0 + -3 -1kx + -1x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1kx + -1x + x2 = -3 Add 'x' to each side of the equation. -1kx + -1x + x + x2 = -3 + x Combine like terms: -1x + x = 0 -1kx + 0 + x2 = -3 + x -1kx + x2 = -3 + x Add '-1x2' to each side of the equation. -1kx + x2 + -1x2 = -3 + x + -1x2 Combine like terms: x2 + -1x2 = 0 -1kx + 0 = -3 + x + -1x2 -1kx = -3 + x + -1x2 Divide each side by '-1x'. k = 3x-1 + -1 + x Simplifying k = 3x-1 + -1 + x Reorder the terms: k = -1 + 3x-1 + x
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