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Simplifying x2 + (k + -2) * x + 4 = 0 Reorder the terms: x2 + (-2 + k) * x + 4 = 0 Reorder the terms for easier multiplication: x2 + x(-2 + k) + 4 = 0 x2 + (-2 * x + k * x) + 4 = 0 Reorder the terms: x2 + (kx + -2x) + 4 = 0 x2 + (kx + -2x) + 4 = 0 Reorder the terms: 4 + kx + -2x + x2 = 0 Solving 4 + kx + -2x + 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 + -2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + kx + -2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + kx + -2x + x2 = 0 + -4 kx + -2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 kx + -2x + x2 = -4 Add '2x' to each side of the equation. kx + -2x + 2x + x2 = -4 + 2x Combine like terms: -2x + 2x = 0 kx + 0 + x2 = -4 + 2x kx + x2 = -4 + 2x Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -4 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -4 + 2x + -1x2 kx = -4 + 2x + -1x2 Divide each side by 'x'. k = -4x-1 + 2 + -1x Simplifying k = -4x-1 + 2 + -1x Reorder the terms: k = 2 + -4x-1 + -1x
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