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Simplifying f(x) = x(60 + -2x)(15 + -2x) Multiply f * x fx = x(60 + -2x)(15 + -2x) Multiply (60 + -2x) * (15 + -2x) fx = x(60(15 + -2x) + -2x * (15 + -2x)) fx = x((15 * 60 + -2x * 60) + -2x * (15 + -2x)) fx = x((900 + -120x) + -2x * (15 + -2x)) fx = x(900 + -120x + (15 * -2x + -2x * -2x)) fx = x(900 + -120x + (-30x + 4x2)) Combine like terms: -120x + -30x = -150x fx = x(900 + -150x + 4x2) fx = (900 * x + -150x * x + 4x2 * x) fx = (900x + -150x2 + 4x3) Solving fx = 900x + -150x2 + 4x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 900 + -150x + 4x2 Simplifying f = 900 + -150x + 4x2
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