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Simplifying x2 + 5x + 15 = (x + 3)(x + 5) Reorder the terms: 15 + 5x + x2 = (x + 3)(x + 5) Reorder the terms: 15 + 5x + x2 = (3 + x)(x + 5) Reorder the terms: 15 + 5x + x2 = (3 + x)(5 + x) Multiply (3 + x) * (5 + x) 15 + 5x + x2 = (3(5 + x) + x(5 + x)) 15 + 5x + x2 = ((5 * 3 + x * 3) + x(5 + x)) 15 + 5x + x2 = ((15 + 3x) + x(5 + x)) 15 + 5x + x2 = (15 + 3x + (5 * x + x * x)) 15 + 5x + x2 = (15 + 3x + (5x + x2)) Combine like terms: 3x + 5x = 8x 15 + 5x + x2 = (15 + 8x + x2) Add '-15' to each side of the equation. 15 + 5x + -15 + x2 = 15 + 8x + -15 + x2 Reorder the terms: 15 + -15 + 5x + x2 = 15 + 8x + -15 + x2 Combine like terms: 15 + -15 = 0 0 + 5x + x2 = 15 + 8x + -15 + x2 5x + x2 = 15 + 8x + -15 + x2 Reorder the terms: 5x + x2 = 15 + -15 + 8x + x2 Combine like terms: 15 + -15 = 0 5x + x2 = 0 + 8x + x2 5x + x2 = 8x + x2 Add '-1x2' to each side of the equation. 5x + x2 + -1x2 = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x + 0 = 8x + x2 + -1x2 5x = 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x = 8x + 0 5x = 8x Solving 5x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5x + -8x = 8x + -8x Combine like terms: 5x + -8x = -3x -3x = 8x + -8x Combine like terms: 8x + -8x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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