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Simplifying f(x) = (-6x + 36)(-6x + -24) Multiply f * x fx = (-6x + 36)(-6x + -24) Reorder the terms: fx = (36 + -6x)(-6x + -24) Reorder the terms: fx = (36 + -6x)(-24 + -6x) Multiply (36 + -6x) * (-24 + -6x) fx = (36(-24 + -6x) + -6x * (-24 + -6x)) fx = ((-24 * 36 + -6x * 36) + -6x * (-24 + -6x)) fx = ((-864 + -216x) + -6x * (-24 + -6x)) fx = (-864 + -216x + (-24 * -6x + -6x * -6x)) fx = (-864 + -216x + (144x + 36x2)) Combine like terms: -216x + 144x = -72x fx = (-864 + -72x + 36x2) Solving fx = -864 + -72x + 36x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -864x-1 + -72 + 36x Simplifying f = -864x-1 + -72 + 36x Reorder the terms: f = -72 + -864x-1 + 36x
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