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Simplifying f(x) = x(14 + -2x)(11 + -2x) Multiply f * x fx = x(14 + -2x)(11 + -2x) Multiply (14 + -2x) * (11 + -2x) fx = x(14(11 + -2x) + -2x * (11 + -2x)) fx = x((11 * 14 + -2x * 14) + -2x * (11 + -2x)) fx = x((154 + -28x) + -2x * (11 + -2x)) fx = x(154 + -28x + (11 * -2x + -2x * -2x)) fx = x(154 + -28x + (-22x + 4x2)) Combine like terms: -28x + -22x = -50x fx = x(154 + -50x + 4x2) fx = (154 * x + -50x * x + 4x2 * x) fx = (154x + -50x2 + 4x3) Solving fx = 154x + -50x2 + 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 = 154 + -50x + 4x2 Simplifying f = 154 + -50x + 4x2
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