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Simplifying 36 = b(b + -5) Reorder the terms: 36 = b(-5 + b) 36 = (-5 * b + b * b) 36 = (-5b + b2) Solving 36 = -5b + b2 Solving for variable 'b'. Reorder the terms: 36 + 5b + -1b2 = -5b + 5b + b2 + -1b2 Combine like terms: -5b + 5b = 0 36 + 5b + -1b2 = 0 + b2 + -1b2 36 + 5b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 36 + 5b + -1b2 = 0 Factor a trinomial. (9 + -1b)(4 + b) = 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 '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Solution
b = {9, -4}
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