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Simplifying (x + 1)(x + 3) = x2 + 11 Reorder the terms: (1 + x)(x + 3) = x2 + 11 Reorder the terms: (1 + x)(3 + x) = x2 + 11 Multiply (1 + x) * (3 + x) (1(3 + x) + x(3 + x)) = x2 + 11 ((3 * 1 + x * 1) + x(3 + x)) = x2 + 11 ((3 + 1x) + x(3 + x)) = x2 + 11 (3 + 1x + (3 * x + x * x)) = x2 + 11 (3 + 1x + (3x + x2)) = x2 + 11 Combine like terms: 1x + 3x = 4x (3 + 4x + x2) = x2 + 11 Reorder the terms: 3 + 4x + x2 = 11 + x2 Add '-1x2' to each side of the equation. 3 + 4x + x2 + -1x2 = 11 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + 4x + 0 = 11 + x2 + -1x2 3 + 4x = 11 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + 4x = 11 + 0 3 + 4x = 11 Solving 3 + 4x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 11 + -3 4x = 11 + -3 Combine like terms: 11 + -3 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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