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Simplifying f(x) = -4x(x2 + -25)(x + -5) Multiply f * x fx = -4x(x2 + -25)(x + -5) Reorder the terms: fx = -4x(-25 + x2)(x + -5) Reorder the terms: fx = -4x(-25 + x2)(-5 + x) Multiply (-25 + x2) * (-5 + x) fx = -4x(-25(-5 + x) + x2(-5 + x)) fx = -4x((-5 * -25 + x * -25) + x2(-5 + x)) fx = -4x((125 + -25x) + x2(-5 + x)) fx = -4x(125 + -25x + (-5 * x2 + x * x2)) fx = -4x(125 + -25x + (-5x2 + x3)) fx = -4x(125 + -25x + -5x2 + x3) fx = (125 * -4x + -25x * -4x + -5x2 * -4x + x3 * -4x) fx = (-500x + 100x2 + 20x3 + -4x4) Solving fx = -500x + 100x2 + 20x3 + -4x4 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -500 + 100x + 20x2 + -4x3 Simplifying f = -500 + 100x + 20x2 + -4x3
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