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Simplifying 8b2 + -72b = b + -9 Reorder the terms: -72b + 8b2 = b + -9 Reorder the terms: -72b + 8b2 = -9 + b Solving -72b + 8b2 = -9 + b Solving for variable 'b'. Reorder the terms: 9 + -72b + -1b + 8b2 = -9 + b + 9 + -1b Combine like terms: -72b + -1b = -73b 9 + -73b + 8b2 = -9 + b + 9 + -1b Reorder the terms: 9 + -73b + 8b2 = -9 + 9 + b + -1b Combine like terms: -9 + 9 = 0 9 + -73b + 8b2 = 0 + b + -1b 9 + -73b + 8b2 = b + -1b Combine like terms: b + -1b = 0 9 + -73b + 8b2 = 0 Factor a trinomial. (1 + -8b)(9 + -1b) = 0Subproblem 1
Set the factor '(1 + -8b)' equal to zero and attempt to solve: Simplifying 1 + -8b = 0 Solving 1 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8b = 0 + -1 -8b = 0 + -1 Combine like terms: 0 + -1 = -1 -8b = -1 Divide each side by '-8'. b = 0.125 Simplifying b = 0.125Subproblem 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 = {0.125, 9}
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