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Simplifying (x + 1)(x + 1) = x * x + 5 Reorder the terms: (1 + x)(x + 1) = x * x + 5 Reorder the terms: (1 + x)(1 + x) = x * x + 5 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) = x * x + 5 ((1 * 1 + x * 1) + x(1 + x)) = x * x + 5 ((1 + 1x) + x(1 + x)) = x * x + 5 (1 + 1x + (1 * x + x * x)) = x * x + 5 (1 + 1x + (1x + x2)) = x * x + 5 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) = x * x + 5 Multiply x * x 1 + 2x + x2 = x2 + 5 Reorder the terms: 1 + 2x + x2 = 5 + x2 Add '-1x2' to each side of the equation. 1 + 2x + x2 + -1x2 = 5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x + 0 = 5 + x2 + -1x2 1 + 2x = 5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x = 5 + 0 1 + 2x = 5 Solving 1 + 2x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 5 + -1 2x = 5 + -1 Combine like terms: 5 + -1 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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