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Simplifying (b + -8)(b + -9) = 0 Reorder the terms: (-8 + b)(b + -9) = 0 Reorder the terms: (-8 + b)(-9 + b) = 0 Multiply (-8 + b) * (-9 + b) (-8(-9 + b) + b(-9 + b)) = 0 ((-9 * -8 + b * -8) + b(-9 + b)) = 0 ((72 + -8b) + b(-9 + b)) = 0 (72 + -8b + (-9 * b + b * b)) = 0 (72 + -8b + (-9b + b2)) = 0 Combine like terms: -8b + -9b = -17b (72 + -17b + b2) = 0 Solving 72 + -17b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + -1b)(9 + -1b) = 0Subproblem 1
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Subproblem 2
Set the factor '(9 + -1b)' equal to zero and attempt to solve: Simplifying 9 + -1b = 0 Solving 9 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 0 + -9 -1b = 0 + -9 Combine like terms: 0 + -9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9Solution
b = {8, 9}
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