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Simplifying f(x) = 3(x + 5)(x + 7) Multiply f * x fx = 3(x + 5)(x + 7) Reorder the terms: fx = 3(5 + x)(x + 7) Reorder the terms: fx = 3(5 + x)(7 + x) Multiply (5 + x) * (7 + x) fx = 3(5(7 + x) + x(7 + x)) fx = 3((7 * 5 + x * 5) + x(7 + x)) fx = 3((35 + 5x) + x(7 + x)) fx = 3(35 + 5x + (7 * x + x * x)) fx = 3(35 + 5x + (7x + x2)) Combine like terms: 5x + 7x = 12x fx = 3(35 + 12x + x2) fx = (35 * 3 + 12x * 3 + x2 * 3) fx = (105 + 36x + 3x2) Solving fx = 105 + 36x + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 105x-1 + 36 + 3x Simplifying f = 105x-1 + 36 + 3x Reorder the terms: f = 36 + 105x-1 + 3x
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