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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 = -9x fx = (20 + -9x + x2) Solving fx = 20 + -9x + 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 + -9 + x Simplifying f = 20x-1 + -9 + x Reorder the terms: f = -9 + 20x-1 + x
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