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Simplifying -81 = b(b + -18) Reorder the terms: -81 = b(-18 + b) -81 = (-18 * b + b * b) -81 = (-18b + b2) Solving -81 = -18b + b2 Solving for variable 'b'. Reorder the terms: -81 + 18b + -1b2 = -18b + 18b + b2 + -1b2 Combine like terms: -18b + 18b = 0 -81 + 18b + -1b2 = 0 + b2 + -1b2 -81 + 18b + -1b2 = b2 + -1b2 Combine like terms: b2 + -1b2 = 0 -81 + 18b + -1b2 = 0 Factor a trinomial. (-9 + b)(9 + -1b) = 0Subproblem 1
Set the factor '(-9 + b)' equal to zero and attempt to solve: Simplifying -9 + b = 0 Solving -9 + b = 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 + b = 0 + 9 Combine like terms: -9 + 9 = 0 0 + b = 0 + 9 b = 0 + 9 Combine like terms: 0 + 9 = 9 b = 9 Simplifying b = 9Subproblem 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 = {9, 9}
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