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Simplifying (7b + 9)(8b + 9) = 0 Reorder the terms: (9 + 7b)(8b + 9) = 0 Reorder the terms: (9 + 7b)(9 + 8b) = 0 Multiply (9 + 7b) * (9 + 8b) (9(9 + 8b) + 7b * (9 + 8b)) = 0 ((9 * 9 + 8b * 9) + 7b * (9 + 8b)) = 0 ((81 + 72b) + 7b * (9 + 8b)) = 0 (81 + 72b + (9 * 7b + 8b * 7b)) = 0 (81 + 72b + (63b + 56b2)) = 0 Combine like terms: 72b + 63b = 135b (81 + 135b + 56b2) = 0 Solving 81 + 135b + 56b2 = 0 Solving for variable 'b'. Factor a trinomial. (9 + 7b)(9 + 8b) = 0Subproblem 1
Set the factor '(9 + 7b)' equal to zero and attempt to solve: Simplifying 9 + 7b = 0 Solving 9 + 7b = 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 + 7b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7b = 0 + -9 7b = 0 + -9 Combine like terms: 0 + -9 = -9 7b = -9 Divide each side by '7'. b = -1.285714286 Simplifying b = -1.285714286Subproblem 2
Set the factor '(9 + 8b)' equal to zero and attempt to solve: Simplifying 9 + 8b = 0 Solving 9 + 8b = 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 + 8b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8b = 0 + -9 8b = 0 + -9 Combine like terms: 0 + -9 = -9 8b = -9 Divide each side by '8'. b = -1.125 Simplifying b = -1.125Solution
b = {-1.285714286, -1.125}
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