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Simplifying (2k + -1) * x2 + -8x + 2 = 0 Reorder the terms: (-1 + 2k) * x2 + -8x + 2 = 0 Reorder the terms for easier multiplication: x2(-1 + 2k) + -8x + 2 = 0 (-1 * x2 + 2k * x2) + -8x + 2 = 0 Reorder the terms: (2kx2 + -1x2) + -8x + 2 = 0 (2kx2 + -1x2) + -8x + 2 = 0 Reorder the terms: 2 + 2kx2 + -8x + -1x2 = 0 Solving 2 + 2kx2 + -8x + -1x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2kx2 + -8x + -2 + -1x2 = 0 + -2 Reorder the terms: 2 + -2 + 2kx2 + -8x + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2kx2 + -8x + -1x2 = 0 + -2 2kx2 + -8x + -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2kx2 + -8x + -1x2 = -2 Add '8x' to each side of the equation. 2kx2 + -8x + 8x + -1x2 = -2 + 8x Combine like terms: -8x + 8x = 0 2kx2 + 0 + -1x2 = -2 + 8x 2kx2 + -1x2 = -2 + 8x Add 'x2' to each side of the equation. 2kx2 + -1x2 + x2 = -2 + 8x + x2 Combine like terms: -1x2 + x2 = 0 2kx2 + 0 = -2 + 8x + x2 2kx2 = -2 + 8x + x2 Divide each side by '2x2'. k = -1x-2 + 4x-1 + 0.5 Simplifying k = -1x-2 + 4x-1 + 0.5 Reorder the terms: k = 0.5 + -1x-2 + 4x-1
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