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Simplifying f(x) = 2x(x2 + -25)(x + -3) Multiply f * x fx = 2x(x2 + -25)(x + -3) Reorder the terms: fx = 2x(-25 + x2)(x + -3) Reorder the terms: fx = 2x(-25 + x2)(-3 + x) Multiply (-25 + x2) * (-3 + x) fx = 2x(-25(-3 + x) + x2(-3 + x)) fx = 2x((-3 * -25 + x * -25) + x2(-3 + x)) fx = 2x((75 + -25x) + x2(-3 + x)) fx = 2x(75 + -25x + (-3 * x2 + x * x2)) fx = 2x(75 + -25x + (-3x2 + x3)) fx = 2x(75 + -25x + -3x2 + x3) fx = (75 * 2x + -25x * 2x + -3x2 * 2x + x3 * 2x) fx = (150x + -50x2 + -6x3 + 2x4) Solving fx = 150x + -50x2 + -6x3 + 2x4 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 150 + -50x + -6x2 + 2x3 Simplifying f = 150 + -50x + -6x2 + 2x3
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