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Simplifying (28 + -1b) * b = 192 Reorder the terms for easier multiplication: b(28 + -1b) = 192 (28 * b + -1b * b) = 192 (28b + -1b2) = 192 Solving 28b + -1b2 = 192 Solving for variable 'b'. Reorder the terms: -192 + 28b + -1b2 = 192 + -192 Combine like terms: 192 + -192 = 0 -192 + 28b + -1b2 = 0 Factor a trinomial. (-16 + b)(12 + -1b) = 0Subproblem 1
Set the factor '(-16 + b)' equal to zero and attempt to solve: Simplifying -16 + b = 0 Solving -16 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + b = 0 + 16 b = 0 + 16 Combine like terms: 0 + 16 = 16 b = 16 Simplifying b = 16Subproblem 2
Set the factor '(12 + -1b)' equal to zero and attempt to solve: Simplifying 12 + -1b = 0 Solving 12 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = 0 + -12 -1b = 0 + -12 Combine like terms: 0 + -12 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12Solution
b = {16, 12}
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