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Simplifying 2x2 + (k + -1) * x + 8 = 0 Reorder the terms: 2x2 + (-1 + k) * x + 8 = 0 Reorder the terms for easier multiplication: 2x2 + x(-1 + k) + 8 = 0 2x2 + (-1 * x + k * x) + 8 = 0 Reorder the terms: 2x2 + (kx + -1x) + 8 = 0 2x2 + (kx + -1x) + 8 = 0 Reorder the terms: 8 + kx + -1x + 2x2 = 0 Solving 8 + kx + -1x + 2x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + kx + -1x + -8 + 2x2 = 0 + -8 Reorder the terms: 8 + -8 + kx + -1x + 2x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + kx + -1x + 2x2 = 0 + -8 kx + -1x + 2x2 = 0 + -8 Combine like terms: 0 + -8 = -8 kx + -1x + 2x2 = -8 Add 'x' to each side of the equation. kx + -1x + x + 2x2 = -8 + x Combine like terms: -1x + x = 0 kx + 0 + 2x2 = -8 + x kx + 2x2 = -8 + x Add '-2x2' to each side of the equation. kx + 2x2 + -2x2 = -8 + x + -2x2 Combine like terms: 2x2 + -2x2 = 0 kx + 0 = -8 + x + -2x2 kx = -8 + x + -2x2 Divide each side by 'x'. k = -8x-1 + 1 + -2x Simplifying k = -8x-1 + 1 + -2x Reorder the terms: k = 1 + -8x-1 + -2x
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