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Simplifying (k + 1) * x2 + 4kx + -8x + 2k = 0 Reorder the terms: (1 + k) * x2 + 4kx + -8x + 2k = 0 Reorder the terms for easier multiplication: x2(1 + k) + 4kx + -8x + 2k = 0 (1 * x2 + k * x2) + 4kx + -8x + 2k = 0 Reorder the terms: (kx2 + 1x2) + 4kx + -8x + 2k = 0 (kx2 + 1x2) + 4kx + -8x + 2k = 0 Reorder the terms: 2k + 4kx + kx2 + -8x + 1x2 = 0 Solving 2k + 4kx + kx2 + -8x + 1x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8x' to each side of the equation. 2k + 4kx + kx2 + -8x + 8x + 1x2 = 0 + 8x Combine like terms: -8x + 8x = 0 2k + 4kx + kx2 + 0 + 1x2 = 0 + 8x 2k + 4kx + kx2 + 1x2 = 0 + 8x Remove the zero: 2k + 4kx + kx2 + 1x2 = 8x Add '-1x2' to each side of the equation. 2k + 4kx + kx2 + 1x2 + -1x2 = 8x + -1x2 Combine like terms: 1x2 + -1x2 = 0 2k + 4kx + kx2 + 0 = 8x + -1x2 2k + 4kx + kx2 = 8x + -1x2 Reorder the terms: 2k + 4kx + kx2 + -8x + x2 = 8x + -8x + -1x2 + x2 Combine like terms: 8x + -8x = 0 2k + 4kx + kx2 + -8x + x2 = 0 + -1x2 + x2 2k + 4kx + kx2 + -8x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2k + 4kx + kx2 + -8x + x2 = 0 The solution to this equation could not be determined.
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