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Simplifying f(x) = (8.5 + -2x)(11 + -2x)(x) Multiply f * x fx = (8.5 + -2x)(11 + -2x)(x) Reorder the terms for easier multiplication: fx = x(8.5 + -2x)(11 + -2x) Multiply (8.5 + -2x) * (11 + -2x) fx = x(8.5(11 + -2x) + -2x * (11 + -2x)) fx = x((11 * 8.5 + -2x * 8.5) + -2x * (11 + -2x)) fx = x((93.5 + -17x) + -2x * (11 + -2x)) fx = x(93.5 + -17x + (11 * -2x + -2x * -2x)) fx = x(93.5 + -17x + (-22x + 4x2)) Combine like terms: -17x + -22x = -39x fx = x(93.5 + -39x + 4x2) fx = (93.5 * x + -39x * x + 4x2 * x) fx = (93.5x + -39x2 + 4x3) Solving fx = 93.5x + -39x2 + 4x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 93.5 + -39x + 4x2 Simplifying f = 93.5 + -39x + 4x2
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