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Simplifying f(x) = (x + 5)(x + -4) Multiply f * x fx = (x + 5)(x + -4) Reorder the terms: fx = (5 + x)(x + -4) Reorder the terms: fx = (5 + x)(-4 + x) Multiply (5 + x) * (-4 + x) fx = (5(-4 + x) + x(-4 + x)) fx = ((-4 * 5 + x * 5) + x(-4 + x)) fx = ((-20 + 5x) + x(-4 + x)) fx = (-20 + 5x + (-4 * x + x * x)) fx = (-20 + 5x + (-4x + x2)) Combine like terms: 5x + -4x = 1x fx = (-20 + 1x + x2) Solving fx = -20 + 1x + 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 = -20x-1 + 1 + x Simplifying f = -20x-1 + 1 + x Reorder the terms: f = 1 + -20x-1 + x
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