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Simplifying (x + 1)(x + 2) = 11 + (x)(x) Reorder the terms: (1 + x)(x + 2) = 11 + (x)(x) Reorder the terms: (1 + x)(2 + x) = 11 + (x)(x) Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x)) = 11 + (x)(x) ((2 * 1 + x * 1) + x(2 + x)) = 11 + (x)(x) ((2 + 1x) + x(2 + x)) = 11 + (x)(x) (2 + 1x + (2 * x + x * x)) = 11 + (x)(x) (2 + 1x + (2x + x2)) = 11 + (x)(x) Combine like terms: 1x + 2x = 3x (2 + 3x + x2) = 11 + (x)(x) Multiply x * x 2 + 3x + x2 = 11 + x2 Add '-1x2' to each side of the equation. 2 + 3x + x2 + -1x2 = 11 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x + 0 = 11 + x2 + -1x2 2 + 3x = 11 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x = 11 + 0 2 + 3x = 11 Solving 2 + 3x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 11 + -2 3x = 11 + -2 Combine like terms: 11 + -2 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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