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