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