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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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