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Simplifying (9 + 4b)(9 + 4b) = 0 Multiply (9 + 4b) * (9 + 4b) (9(9 + 4b) + 4b * (9 + 4b)) = 0 ((9 * 9 + 4b * 9) + 4b * (9 + 4b)) = 0 ((81 + 36b) + 4b * (9 + 4b)) = 0 (81 + 36b + (9 * 4b + 4b * 4b)) = 0 (81 + 36b + (36b + 16b2)) = 0 Combine like terms: 36b + 36b = 72b (81 + 72b + 16b2) = 0 Solving 81 + 72b + 16b2 = 0 Solving for variable 'b'. Factor a trinomial. (9 + 4b)(9 + 4b) = 0Subproblem 1
Set the factor '(9 + 4b)' equal to zero and attempt to solve: Simplifying 9 + 4b = 0 Solving 9 + 4b = 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 + 4b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4b = 0 + -9 4b = 0 + -9 Combine like terms: 0 + -9 = -9 4b = -9 Divide each side by '4'. b = -2.25 Simplifying b = -2.25Subproblem 2
Set the factor '(9 + 4b)' equal to zero and attempt to solve: Simplifying 9 + 4b = 0 Solving 9 + 4b = 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 + 4b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4b = 0 + -9 4b = 0 + -9 Combine like terms: 0 + -9 = -9 4b = -9 Divide each side by '4'. b = -2.25 Simplifying b = -2.25Solution
b = {-2.25, -2.25}
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