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Simplifying x2 + (k + -1) * x + 4 = 0 Reorder the terms: x2 + (-1 + k) * x + 4 = 0 Reorder the terms for easier multiplication: x2 + x(-1 + k) + 4 = 0 x2 + (-1 * x + k * x) + 4 = 0 Reorder the terms: x2 + (kx + -1x) + 4 = 0 x2 + (kx + -1x) + 4 = 0 Reorder the terms: 4 + kx + -1x + x2 = 0 Solving 4 + kx + -1x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + kx + -1x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + kx + -1x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + kx + -1x + x2 = 0 + -4 kx + -1x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 kx + -1x + x2 = -4 Add 'x' to each side of the equation. kx + -1x + x + x2 = -4 + x Combine like terms: -1x + x = 0 kx + 0 + x2 = -4 + x kx + x2 = -4 + x Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -4 + x + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -4 + x + -1x2 kx = -4 + x + -1x2 Divide each side by 'x'. k = -4x-1 + 1 + -1x Simplifying k = -4x-1 + 1 + -1x Reorder the terms: k = 1 + -4x-1 + -1x
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