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Simplifying b2 = -1b + 30 Reorder the terms: b2 = 30 + -1b Solving b2 = 30 + -1b Solving for variable 'b'. Reorder the terms: -30 + b + b2 = 30 + -1b + -30 + b Reorder the terms: -30 + b + b2 = 30 + -30 + -1b + b Combine like terms: 30 + -30 = 0 -30 + b + b2 = 0 + -1b + b -30 + b + b2 = -1b + b Combine like terms: -1b + b = 0 -30 + b + b2 = 0 Factor a trinomial. (-6 + -1b)(5 + -1b) = 0Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve: Simplifying -6 + -1b = 0 Solving -6 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1b = 0 + 6 -1b = 0 + 6 Combine like terms: 0 + 6 = 6 -1b = 6 Divide each side by '-1'. b = -6 Simplifying b = -6Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solution
b = {-6, 5}
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