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Simplifying b2 + -1b = 36 + 4b Reorder the terms: -1b + b2 = 36 + 4b Solving -1b + b2 = 36 + 4b Solving for variable 'b'. Reorder the terms: -36 + -1b + -4b + b2 = 36 + 4b + -36 + -4b Combine like terms: -1b + -4b = -5b -36 + -5b + b2 = 36 + 4b + -36 + -4b Reorder the terms: -36 + -5b + b2 = 36 + -36 + 4b + -4b Combine like terms: 36 + -36 = 0 -36 + -5b + b2 = 0 + 4b + -4b -36 + -5b + b2 = 4b + -4b Combine like terms: 4b + -4b = 0 -36 + -5b + b2 = 0 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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