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Simplifying (b + 9)(b + -12) = 0 Reorder the terms: (9 + b)(b + -12) = 0 Reorder the terms: (9 + b)(-12 + b) = 0 Multiply (9 + b) * (-12 + b) (9(-12 + b) + b(-12 + b)) = 0 ((-12 * 9 + b * 9) + b(-12 + b)) = 0 ((-108 + 9b) + b(-12 + b)) = 0 (-108 + 9b + (-12 * b + b * b)) = 0 (-108 + 9b + (-12b + b2)) = 0 Combine like terms: 9b + -12b = -3b (-108 + -3b + b2) = 0 Solving -108 + -3b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-9 + -1b)(12 + -1b) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(12 + -1b)' equal to zero and attempt to solve: Simplifying 12 + -1b = 0 Solving 12 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = 0 + -12 -1b = 0 + -12 Combine like terms: 0 + -12 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12Solution
b = {-9, 12}
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