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Simplifying (x + 1)(x + 2) = x(x + 1) + 3 Reorder the terms: (1 + x)(x + 2) = x(x + 1) + 3 Reorder the terms: (1 + x)(2 + x) = x(x + 1) + 3 Multiply (1 + x) * (2 + x) (1(2 + x) + x(2 + x)) = x(x + 1) + 3 ((2 * 1 + x * 1) + x(2 + x)) = x(x + 1) + 3 ((2 + 1x) + x(2 + x)) = x(x + 1) + 3 (2 + 1x + (2 * x + x * x)) = x(x + 1) + 3 (2 + 1x + (2x + x2)) = x(x + 1) + 3 Combine like terms: 1x + 2x = 3x (2 + 3x + x2) = x(x + 1) + 3 Reorder the terms: 2 + 3x + x2 = x(1 + x) + 3 2 + 3x + x2 = (1 * x + x * x) + 3 2 + 3x + x2 = (1x + x2) + 3 Reorder the terms: 2 + 3x + x2 = 3 + 1x + x2 Add '-1x2' to each side of the equation. 2 + 3x + x2 + -1x2 = 3 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x + 0 = 3 + 1x + x2 + -1x2 2 + 3x = 3 + 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x = 3 + 1x + 0 2 + 3x = 3 + 1x Solving 2 + 3x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + 3x + -1x = 3 + 1x + -1x Combine like terms: 3x + -1x = 2x 2 + 2x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + 2x = 3 + 0 2 + 2x = 3 Add '-2' to each side of the equation. 2 + -2 + 2x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 3 + -2 2x = 3 + -2 Combine like terms: 3 + -2 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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