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Simplifying f(x) = (7x + 23) * 5(13x + 6) Multiply f * x fx = (7x + 23) * 5(13x + 6) Reorder the terms: fx = (23 + 7x) * 5(13x + 6) Reorder the terms: fx = (23 + 7x) * 5(6 + 13x) Reorder the terms for easier multiplication: fx = 5(23 + 7x)(6 + 13x) Multiply (23 + 7x) * (6 + 13x) fx = 5(23(6 + 13x) + 7x * (6 + 13x)) fx = 5((6 * 23 + 13x * 23) + 7x * (6 + 13x)) fx = 5((138 + 299x) + 7x * (6 + 13x)) fx = 5(138 + 299x + (6 * 7x + 13x * 7x)) fx = 5(138 + 299x + (42x + 91x2)) Combine like terms: 299x + 42x = 341x fx = 5(138 + 341x + 91x2) fx = (138 * 5 + 341x * 5 + 91x2 * 5) fx = (690 + 1705x + 455x2) Solving fx = 690 + 1705x + 455x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 690x-1 + 1705 + 455x Simplifying f = 690x-1 + 1705 + 455x Reorder the terms: f = 1705 + 690x-1 + 455x
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