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Simplifying (x + 3)(x + 2) = (x)(x) + 46 Reorder the terms: (3 + x)(x + 2) = (x)(x) + 46 Reorder the terms: (3 + x)(2 + x) = (x)(x) + 46 Multiply (3 + x) * (2 + x) (3(2 + x) + x(2 + x)) = (x)(x) + 46 ((2 * 3 + x * 3) + x(2 + x)) = (x)(x) + 46 ((6 + 3x) + x(2 + x)) = (x)(x) + 46 (6 + 3x + (2 * x + x * x)) = (x)(x) + 46 (6 + 3x + (2x + x2)) = (x)(x) + 46 Combine like terms: 3x + 2x = 5x (6 + 5x + x2) = (x)(x) + 46 Multiply x * x 6 + 5x + x2 = x2 + 46 Reorder the terms: 6 + 5x + x2 = 46 + x2 Add '-1x2' to each side of the equation. 6 + 5x + x2 + -1x2 = 46 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x + 0 = 46 + x2 + -1x2 6 + 5x = 46 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x = 46 + 0 6 + 5x = 46 Solving 6 + 5x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 46 + -6 5x = 46 + -6 Combine like terms: 46 + -6 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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