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Simplifying f(x) = x(x + -5)(x + 4) Multiply f * x fx = x(x + -5)(x + 4) Reorder the terms: fx = x(-5 + x)(x + 4) Reorder the terms: fx = x(-5 + x)(4 + x) Multiply (-5 + x) * (4 + x) fx = x(-5(4 + x) + x(4 + x)) fx = x((4 * -5 + x * -5) + x(4 + x)) fx = x((-20 + -5x) + x(4 + x)) fx = x(-20 + -5x + (4 * x + x * x)) fx = x(-20 + -5x + (4x + x2)) Combine like terms: -5x + 4x = -1x fx = x(-20 + -1x + x2) fx = (-20 * x + -1x * x + x2 * x) fx = (-20x + -1x2 + x3) Solving fx = -20x + -1x2 + 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 = -20 + -1x + x2 Simplifying f = -20 + -1x + x2
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