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Simplifying f(x) = 2(X + -6)(20 + -3X) Multiply f * x fx = 2(X + -6)(20 + -3X) Reorder the terms: fx = 2(-6 + X)(20 + -3X) Multiply (-6 + X) * (20 + -3X) fx = 2(-6(20 + -3X) + X(20 + -3X)) fx = 2((20 * -6 + -3X * -6) + X(20 + -3X)) fx = 2((-120 + 18X) + X(20 + -3X)) fx = 2(-120 + 18X + (20 * X + -3X * X)) fx = 2(-120 + 18X + (20X + -3X2)) Combine like terms: 18X + 20X = 38X fx = 2(-120 + 38X + -3X2) fx = (-120 * 2 + 38X * 2 + -3X2 * 2) fx = (-240 + 76X + -6X2) Solving fx = -240 + 76X + -6X2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -240x-1 + 76x-1X + -6x-1X2 Simplifying f = -240x-1 + 76x-1X + -6x-1X2
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