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Simplifying (b + 5)(b + -7) = (b + -5)(b + 7) Reorder the terms: (5 + b)(b + -7) = (b + -5)(b + 7) Reorder the terms: (5 + b)(-7 + b) = (b + -5)(b + 7) Multiply (5 + b) * (-7 + b) (5(-7 + b) + b(-7 + b)) = (b + -5)(b + 7) ((-7 * 5 + b * 5) + b(-7 + b)) = (b + -5)(b + 7) ((-35 + 5b) + b(-7 + b)) = (b + -5)(b + 7) (-35 + 5b + (-7 * b + b * b)) = (b + -5)(b + 7) (-35 + 5b + (-7b + b2)) = (b + -5)(b + 7) Combine like terms: 5b + -7b = -2b (-35 + -2b + b2) = (b + -5)(b + 7) Reorder the terms: -35 + -2b + b2 = (-5 + b)(b + 7) Reorder the terms: -35 + -2b + b2 = (-5 + b)(7 + b) Multiply (-5 + b) * (7 + b) -35 + -2b + b2 = (-5(7 + b) + b(7 + b)) -35 + -2b + b2 = ((7 * -5 + b * -5) + b(7 + b)) -35 + -2b + b2 = ((-35 + -5b) + b(7 + b)) -35 + -2b + b2 = (-35 + -5b + (7 * b + b * b)) -35 + -2b + b2 = (-35 + -5b + (7b + b2)) Combine like terms: -5b + 7b = 2b -35 + -2b + b2 = (-35 + 2b + b2) Add '35' to each side of the equation. -35 + -2b + 35 + b2 = -35 + 2b + 35 + b2 Reorder the terms: -35 + 35 + -2b + b2 = -35 + 2b + 35 + b2 Combine like terms: -35 + 35 = 0 0 + -2b + b2 = -35 + 2b + 35 + b2 -2b + b2 = -35 + 2b + 35 + b2 Reorder the terms: -2b + b2 = -35 + 35 + 2b + b2 Combine like terms: -35 + 35 = 0 -2b + b2 = 0 + 2b + b2 -2b + b2 = 2b + b2 Add '-1b2' to each side of the equation. -2b + b2 + -1b2 = 2b + b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -2b + 0 = 2b + b2 + -1b2 -2b = 2b + b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -2b = 2b + 0 -2b = 2b Solving -2b = 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -2b + -2b = 2b + -2b Combine like terms: -2b + -2b = -4b -4b = 2b + -2b Combine like terms: 2b + -2b = 0 -4b = 0 Divide each side by '-4'. b = 0 Simplifying b = 0
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