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Simplifying x(cx + 1) = c + 1 Reorder the terms: x(1 + cx) = c + 1 (1 * x + cx * x) = c + 1 Reorder the terms: (cx2 + 1x) = c + 1 (cx2 + 1x) = c + 1 Reorder the terms: cx2 + 1x = 1 + c Solving cx2 + 1x = 1 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. cx2 + -1c + 1x = 1 + c + -1c Reorder the terms: -1c + cx2 + 1x = 1 + c + -1c Combine like terms: c + -1c = 0 -1c + cx2 + 1x = 1 + 0 -1c + cx2 + 1x = 1 Add '-1x' to each side of the equation. -1c + cx2 + 1x + -1x = 1 + -1x Combine like terms: 1x + -1x = 0 -1c + cx2 + 0 = 1 + -1x -1c + cx2 = 1 + -1x Reorder the terms: -1 + -1c + cx2 + x = 1 + -1x + -1 + x Reorder the terms: -1 + -1c + cx2 + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + -1c + cx2 + x = 0 + -1x + x -1 + -1c + cx2 + x = -1x + x Combine like terms: -1x + x = 0 -1 + -1c + cx2 + x = 0 The solution to this equation could not be determined.
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