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Simplifying p(x) = (20 + 5x)(80 + -5x) Multiply p * x px = (20 + 5x)(80 + -5x) Multiply (20 + 5x) * (80 + -5x) px = (20(80 + -5x) + 5x * (80 + -5x)) px = ((80 * 20 + -5x * 20) + 5x * (80 + -5x)) px = ((1600 + -100x) + 5x * (80 + -5x)) px = (1600 + -100x + (80 * 5x + -5x * 5x)) px = (1600 + -100x + (400x + -25x2)) Combine like terms: -100x + 400x = 300x px = (1600 + 300x + -25x2) Solving px = 1600 + 300x + -25x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by 'x'. p = 1600x-1 + 300 + -25x Simplifying p = 1600x-1 + 300 + -25x Reorder the terms: p = 300 + 1600x-1 + -25x
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