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Simplifying x2 + -8x + 15 = (x + -3)(x + 5) Reorder the terms: 15 + -8x + x2 = (x + -3)(x + 5) Reorder the terms: 15 + -8x + x2 = (-3 + x)(x + 5) Reorder the terms: 15 + -8x + x2 = (-3 + x)(5 + x) Multiply (-3 + x) * (5 + x) 15 + -8x + x2 = (-3(5 + x) + x(5 + x)) 15 + -8x + x2 = ((5 * -3 + x * -3) + x(5 + x)) 15 + -8x + x2 = ((-15 + -3x) + x(5 + x)) 15 + -8x + x2 = (-15 + -3x + (5 * x + x * x)) 15 + -8x + x2 = (-15 + -3x + (5x + x2)) Combine like terms: -3x + 5x = 2x 15 + -8x + x2 = (-15 + 2x + x2) Add '-1x2' to each side of the equation. 15 + -8x + x2 + -1x2 = -15 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -8x + 0 = -15 + 2x + x2 + -1x2 15 + -8x = -15 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -8x = -15 + 2x + 0 15 + -8x = -15 + 2x Solving 15 + -8x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -8x + -2x = -15 + 2x + -2x Combine like terms: -8x + -2x = -10x 15 + -10x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -10x = -15 + 0 15 + -10x = -15 Add '-15' to each side of the equation. 15 + -15 + -10x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = -15 + -15 -10x = -15 + -15 Combine like terms: -15 + -15 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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