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Simplifying (x)(x + 2) = (x + 3)(x + 2) Reorder the terms: x(2 + x) = (x + 3)(x + 2) (2 * x + x * x) = (x + 3)(x + 2) (2x + x2) = (x + 3)(x + 2) Reorder the terms: 2x + x2 = (3 + x)(x + 2) Reorder the terms: 2x + x2 = (3 + x)(2 + x) Multiply (3 + x) * (2 + x) 2x + x2 = (3(2 + x) + x(2 + x)) 2x + x2 = ((2 * 3 + x * 3) + x(2 + x)) 2x + x2 = ((6 + 3x) + x(2 + x)) 2x + x2 = (6 + 3x + (2 * x + x * x)) 2x + x2 = (6 + 3x + (2x + x2)) Combine like terms: 3x + 2x = 5x 2x + x2 = (6 + 5x + x2) Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = 6 + 5x + x2 + -1x2 2x = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = 6 + 5x + 0 2x = 6 + 5x Solving 2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3x = 6 + 0 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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