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Simplifying x2 + 81 = (x + 1)(x + 2) Reorder the terms: 81 + x2 = (x + 1)(x + 2) Reorder the terms: 81 + x2 = (1 + x)(x + 2) Reorder the terms: 81 + x2 = (1 + x)(2 + x) Multiply (1 + x) * (2 + x) 81 + x2 = (1(2 + x) + x(2 + x)) 81 + x2 = ((2 * 1 + x * 1) + x(2 + x)) 81 + x2 = ((2 + 1x) + x(2 + x)) 81 + x2 = (2 + 1x + (2 * x + x * x)) 81 + x2 = (2 + 1x + (2x + x2)) Combine like terms: 1x + 2x = 3x 81 + x2 = (2 + 3x + x2) Add '-1x2' to each side of the equation. 81 + x2 + -1x2 = 2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 81 + 0 = 2 + 3x + x2 + -1x2 81 = 2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 81 = 2 + 3x + 0 81 = 2 + 3x Solving 81 = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 81 + -3x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 81 + -3x = 2 + 0 81 + -3x = 2 Add '-81' to each side of the equation. 81 + -81 + -3x = 2 + -81 Combine like terms: 81 + -81 = 0 0 + -3x = 2 + -81 -3x = 2 + -81 Combine like terms: 2 + -81 = -79 -3x = -79 Divide each side by '-3'. x = 26.33333333 Simplifying x = 26.33333333
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