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Simplifying p(x) = (4x + -5)(5x + 4) Multiply p * x px = (4x + -5)(5x + 4) Reorder the terms: px = (-5 + 4x)(5x + 4) Reorder the terms: px = (-5 + 4x)(4 + 5x) Multiply (-5 + 4x) * (4 + 5x) px = (-5(4 + 5x) + 4x * (4 + 5x)) px = ((4 * -5 + 5x * -5) + 4x * (4 + 5x)) px = ((-20 + -25x) + 4x * (4 + 5x)) px = (-20 + -25x + (4 * 4x + 5x * 4x)) px = (-20 + -25x + (16x + 20x2)) Combine like terms: -25x + 16x = -9x px = (-20 + -9x + 20x2) Solving px = -20 + -9x + 20x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by 'x'. p = -20x-1 + -9 + 20x Simplifying p = -20x-1 + -9 + 20x Reorder the terms: p = -9 + -20x-1 + 20x
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