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Simplifying f(x) = (x + 5)(x2 + -16) Multiply f * x fx = (x + 5)(x2 + -16) Reorder the terms: fx = (5 + x)(x2 + -16) Reorder the terms: fx = (5 + x)(-16 + x2) Multiply (5 + x) * (-16 + x2) fx = (5(-16 + x2) + x(-16 + x2)) fx = ((-16 * 5 + x2 * 5) + x(-16 + x2)) fx = ((-80 + 5x2) + x(-16 + x2)) fx = (-80 + 5x2 + (-16 * x + x2 * x)) fx = (-80 + 5x2 + (-16x + x3)) Reorder the terms: fx = (-80 + -16x + 5x2 + x3) fx = (-80 + -16x + 5x2 + x3) Solving fx = -80 + -16x + 5x2 + x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -80x-1 + -16 + 5x + x2 Simplifying f = -80x-1 + -16 + 5x + x2 Reorder the terms: f = -16 + -80x-1 + 5x + x2
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