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Simplifying (b + -9)(b + -4) = 0 Reorder the terms: (-9 + b)(b + -4) = 0 Reorder the terms: (-9 + b)(-4 + b) = 0 Multiply (-9 + b) * (-4 + b) (-9(-4 + b) + b(-4 + b)) = 0 ((-4 * -9 + b * -9) + b(-4 + b)) = 0 ((36 + -9b) + b(-4 + b)) = 0 (36 + -9b + (-4 * b + b * b)) = 0 (36 + -9b + (-4b + b2)) = 0 Combine like terms: -9b + -4b = -13b (36 + -13b + b2) = 0 Solving 36 + -13b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (4 + -1b)(9 + -1b) = 0Subproblem 1
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Subproblem 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 = {4, 9}
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