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