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Simplifying f(x) = (200 + -2x)(120 + 2x) Multiply f * x fx = (200 + -2x)(120 + 2x) Multiply (200 + -2x) * (120 + 2x) fx = (200(120 + 2x) + -2x * (120 + 2x)) fx = ((120 * 200 + 2x * 200) + -2x * (120 + 2x)) fx = ((24000 + 400x) + -2x * (120 + 2x)) fx = (24000 + 400x + (120 * -2x + 2x * -2x)) fx = (24000 + 400x + (-240x + -4x2)) Combine like terms: 400x + -240x = 160x fx = (24000 + 160x + -4x2) Solving fx = 24000 + 160x + -4x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 24000x-1 + 160 + -4x Simplifying f = 24000x-1 + 160 + -4x Reorder the terms: f = 160 + 24000x-1 + -4x
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