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Simplifying f(x) = (400 + 20x)(90 + -1x) Multiply f * x fx = (400 + 20x)(90 + -1x) Multiply (400 + 20x) * (90 + -1x) fx = (400(90 + -1x) + 20x * (90 + -1x)) fx = ((90 * 400 + -1x * 400) + 20x * (90 + -1x)) fx = ((36000 + -400x) + 20x * (90 + -1x)) fx = (36000 + -400x + (90 * 20x + -1x * 20x)) fx = (36000 + -400x + (1800x + -20x2)) Combine like terms: -400x + 1800x = 1400x fx = (36000 + 1400x + -20x2) Solving fx = 36000 + 1400x + -20x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 36000x-1 + 1400 + -20x Simplifying f = 36000x-1 + 1400 + -20x Reorder the terms: f = 1400 + 36000x-1 + -20x
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