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Simplifying f(x) = (6x + 3)(2x(2) + 5) Multiply f * x fx = (6x + 3)(2x(2) + 5) Reorder the terms: fx = (3 + 6x)(2x(2) + 5) Reorder the terms for easier multiplication: fx = (3 + 6x)(2 * 2x + 5) Multiply 2 * 2 fx = (3 + 6x)(4x + 5) Reorder the terms: fx = (3 + 6x)(5 + 4x) Multiply (3 + 6x) * (5 + 4x) fx = (3(5 + 4x) + 6x * (5 + 4x)) fx = ((5 * 3 + 4x * 3) + 6x * (5 + 4x)) fx = ((15 + 12x) + 6x * (5 + 4x)) fx = (15 + 12x + (5 * 6x + 4x * 6x)) fx = (15 + 12x + (30x + 24x2)) Combine like terms: 12x + 30x = 42x fx = (15 + 42x + 24x2) Solving fx = 15 + 42x + 24x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 15x-1 + 42 + 24x Simplifying f = 15x-1 + 42 + 24x Reorder the terms: f = 42 + 15x-1 + 24x
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