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Simplifying f(x) = x(x + 4)(x + -2) Multiply f * x fx = x(x + 4)(x + -2) Reorder the terms: fx = x(4 + x)(x + -2) Reorder the terms: fx = x(4 + x)(-2 + x) Multiply (4 + x) * (-2 + x) fx = x(4(-2 + x) + x(-2 + x)) fx = x((-2 * 4 + x * 4) + x(-2 + x)) fx = x((-8 + 4x) + x(-2 + x)) fx = x(-8 + 4x + (-2 * x + x * x)) fx = x(-8 + 4x + (-2x + x2)) Combine like terms: 4x + -2x = 2x fx = x(-8 + 2x + x2) fx = (-8 * x + 2x * x + x2 * x) fx = (-8x + 2x2 + x3) Solving fx = -8x + 2x2 + 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 = -8 + 2x + x2 Simplifying f = -8 + 2x + x2
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