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Simplifying (b + 30)(b + -36) = 0 Reorder the terms: (30 + b)(b + -36) = 0 Reorder the terms: (30 + b)(-36 + b) = 0 Multiply (30 + b) * (-36 + b) (30(-36 + b) + b(-36 + b)) = 0 ((-36 * 30 + b * 30) + b(-36 + b)) = 0 ((-1080 + 30b) + b(-36 + b)) = 0 (-1080 + 30b + (-36 * b + b * b)) = 0 (-1080 + 30b + (-36b + b2)) = 0 Combine like terms: 30b + -36b = -6b (-1080 + -6b + b2) = 0 Solving -1080 + -6b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-30 + -1b)(36 + -1b) = 0Subproblem 1
Set the factor '(-30 + -1b)' equal to zero and attempt to solve: Simplifying -30 + -1b = 0 Solving -30 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1b = 0 + 30 -1b = 0 + 30 Combine like terms: 0 + 30 = 30 -1b = 30 Divide each side by '-1'. b = -30 Simplifying b = -30Subproblem 2
Set the factor '(36 + -1b)' equal to zero and attempt to solve: Simplifying 36 + -1b = 0 Solving 36 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1b = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1b = 0 + -36 -1b = 0 + -36 Combine like terms: 0 + -36 = -36 -1b = -36 Divide each side by '-1'. b = 36 Simplifying b = 36Solution
b = {-30, 36}
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