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Simplifying (8 + -1b) * b = 16 Reorder the terms for easier multiplication: b(8 + -1b) = 16 (8 * b + -1b * b) = 16 (8b + -1b2) = 16 Solving 8b + -1b2 = 16 Solving for variable 'b'. Reorder the terms: -16 + 8b + -1b2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 8b + -1b2 = 0 Factor a trinomial. (-4 + b)(4 + -1b) = 0Subproblem 1
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 = 4Subproblem 2
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 = 4Solution
b = {4, 4}
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