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Simplifying (x + -3)(x + 5) = x2 + -7x + -15 Reorder the terms: (-3 + x)(x + 5) = x2 + -7x + -15 Reorder the terms: (-3 + x)(5 + x) = x2 + -7x + -15 Multiply (-3 + x) * (5 + x) (-3(5 + x) + x(5 + x)) = x2 + -7x + -15 ((5 * -3 + x * -3) + x(5 + x)) = x2 + -7x + -15 ((-15 + -3x) + x(5 + x)) = x2 + -7x + -15 (-15 + -3x + (5 * x + x * x)) = x2 + -7x + -15 (-15 + -3x + (5x + x2)) = x2 + -7x + -15 Combine like terms: -3x + 5x = 2x (-15 + 2x + x2) = x2 + -7x + -15 Reorder the terms: -15 + 2x + x2 = -15 + -7x + x2 Add '15' to each side of the equation. -15 + 2x + 15 + x2 = -15 + -7x + 15 + x2 Reorder the terms: -15 + 15 + 2x + x2 = -15 + -7x + 15 + x2 Combine like terms: -15 + 15 = 0 0 + 2x + x2 = -15 + -7x + 15 + x2 2x + x2 = -15 + -7x + 15 + x2 Reorder the terms: 2x + x2 = -15 + 15 + -7x + x2 Combine like terms: -15 + 15 = 0 2x + x2 = 0 + -7x + x2 2x + x2 = -7x + x2 Add '-1x2' to each side of the equation. 2x + x2 + -1x2 = -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x + 0 = -7x + x2 + -1x2 2x = -7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2x = -7x + 0 2x = -7x Solving 2x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2x + 7x = -7x + 7x Combine like terms: 2x + 7x = 9x 9x = -7x + 7x Combine like terms: -7x + 7x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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