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Simplifying (35 + -1b) * b = 300 Reorder the terms for easier multiplication: b(35 + -1b) = 300 (35 * b + -1b * b) = 300 (35b + -1b2) = 300 Solving 35b + -1b2 = 300 Solving for variable 'b'. Reorder the terms: -300 + 35b + -1b2 = 300 + -300 Combine like terms: 300 + -300 = 0 -300 + 35b + -1b2 = 0 Factor a trinomial. (-20 + b)(15 + -1b) = 0Subproblem 1
Set the factor '(-20 + b)' equal to zero and attempt to solve: Simplifying -20 + b = 0 Solving -20 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + b = 0 + 20 b = 0 + 20 Combine like terms: 0 + 20 = 20 b = 20 Simplifying b = 20Subproblem 2
Set the factor '(15 + -1b)' equal to zero and attempt to solve: Simplifying 15 + -1b = 0 Solving 15 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1b = 0 + -15 -1b = 0 + -15 Combine like terms: 0 + -15 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15Solution
b = {20, 15}
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