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Simplifying f(x) = 3x(x2 + -49)(3.5x)(x2 + 2) Multiply f * x fx = 3x(x2 + -49)(3.5x)(x2 + 2) Reorder the terms: fx = 3x(-49 + x2)(3.5x)(x2 + 2) Remove parenthesis around (3.5x) fx = 3x(-49 + x2) * 3.5x(x2 + 2) Reorder the terms: fx = 3x(-49 + x2) * 3.5x(2 + x2) Reorder the terms for easier multiplication: fx = 3 * 3.5x * x(-49 + x2)(2 + x2) Multiply 3 * 3.5 fx = 10.5x * x(-49 + x2)(2 + x2) Multiply x * x fx = 10.5x2(-49 + x2)(2 + x2) Multiply (-49 + x2) * (2 + x2) fx = 10.5x2(-49(2 + x2) + x2(2 + x2)) fx = 10.5x2((2 * -49 + x2 * -49) + x2(2 + x2)) fx = 10.5x2((-98 + -49x2) + x2(2 + x2)) fx = 10.5x2(-98 + -49x2 + (2 * x2 + x2 * x2)) fx = 10.5x2(-98 + -49x2 + (2x2 + x4)) Combine like terms: -49x2 + 2x2 = -47x2 fx = 10.5x2(-98 + -47x2 + x4) fx = (-98 * 10.5x2 + -47x2 * 10.5x2 + x4 * 10.5x2) fx = (-1029x2 + -493.5x4 + 10.5x6) Solving fx = -1029x2 + -493.5x4 + 10.5x6 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -1029x + -493.5x3 + 10.5x5 Simplifying f = -1029x + -493.5x3 + 10.5x5
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