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Simplifying f(x) = (x + -9)(x + -4) Multiply f * x fx = (x + -9)(x + -4) Reorder the terms: fx = (-9 + x)(x + -4) Reorder the terms: fx = (-9 + x)(-4 + x) Multiply (-9 + x) * (-4 + x) fx = (-9(-4 + x) + x(-4 + x)) fx = ((-4 * -9 + x * -9) + x(-4 + x)) fx = ((36 + -9x) + x(-4 + x)) fx = (36 + -9x + (-4 * x + x * x)) fx = (36 + -9x + (-4x + x2)) Combine like terms: -9x + -4x = -13x fx = (36 + -13x + x2) Solving fx = 36 + -13x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 36x-1 + -13 + x Simplifying f = 36x-1 + -13 + x Reorder the terms: f = -13 + 36x-1 + x
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