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Simplifying (x + 1)(x + 1) = (x + 1)(x + 1) Reorder the terms: (1 + x)(x + 1) = (x + 1)(x + 1) Reorder the terms: (1 + x)(1 + x) = (x + 1)(x + 1) Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) = (x + 1)(x + 1) ((1 * 1 + x * 1) + x(1 + x)) = (x + 1)(x + 1) ((1 + 1x) + x(1 + x)) = (x + 1)(x + 1) (1 + 1x + (1 * x + x * x)) = (x + 1)(x + 1) (1 + 1x + (1x + x2)) = (x + 1)(x + 1) Combine like terms: 1x + 1x = 2x (1 + 2x + x2) = (x + 1)(x + 1) Reorder the terms: 1 + 2x + x2 = (1 + x)(x + 1) Reorder the terms: 1 + 2x + x2 = (1 + x)(1 + x) Multiply (1 + x) * (1 + x) 1 + 2x + x2 = (1(1 + x) + x(1 + x)) 1 + 2x + x2 = ((1 * 1 + x * 1) + x(1 + x)) 1 + 2x + x2 = ((1 + 1x) + x(1 + x)) 1 + 2x + x2 = (1 + 1x + (1 * x + x * x)) 1 + 2x + x2 = (1 + 1x + (1x + x2)) Combine like terms: 1x + 1x = 2x 1 + 2x + x2 = (1 + 2x + x2) Add '-1' to each side of the equation. 1 + 2x + -1 + x2 = 1 + 2x + -1 + x2 Reorder the terms: 1 + -1 + 2x + x2 = 1 + 2x + -1 + x2 Combine like terms: 1 + -1 = 0 0 + 2x + x2 = 1 + 2x + -1 + x2 2x + x2 = 1 + 2x + -1 + x2 Reorder the terms: 2x + x2 = 1 + -1 + 2x + x2 Combine like terms: 1 + -1 = 0 2x + x2 = 0 + 2x + x2 2x + x2 = 2x + x2 Add '-2x' to each side of the equation. 2x + -2x + x2 = 2x + -2x + x2 Combine like terms: 2x + -2x = 0 0 + x2 = 2x + -2x + x2 x2 = 2x + -2x + x2 Combine like terms: 2x + -2x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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