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Simplifying (x + 1)(x + 1) = x2 + -3 Reorder the terms: (1 + x)(x + 1) = x2 + -3 Reorder the terms: (1 + x)(1 + x) = x2 + -3 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) = x2 + -3 ((1 * 1 + x * 1) + x(1 + x)) = x2 + -3 ((1 + 1x) + x(1 + x)) = x2 + -3 (1 + 1x + (1 * x + x * x)) = x2 + -3 (1 + 1x + (1x + x2)) = x2 + -3 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) = x2 + -3 Reorder the terms: 1 + 2x + x2 = -3 + x2 Add '-1x2' to each side of the equation. 1 + 2x + x2 + -1x2 = -3 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x + 0 = -3 + x2 + -1x2 1 + 2x = -3 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + 2x = -3 + 0 1 + 2x = -3 Solving 1 + 2x = -3 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 = -3 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -3 + -1 2x = -3 + -1 Combine like terms: -3 + -1 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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