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Simplifying f(x) = (x + 3)(x + 4i) Multiply f * x fx = (x + 3)(x + 4i) Reorder the terms: fx = (3 + x)(x + 4i) Reorder the terms: fx = (3 + x)(4i + x) Multiply (3 + x) * (4i + x) fx = (3(4i + x) + x(4i + x)) fx = ((4i * 3 + x * 3) + x(4i + x)) fx = ((12i + 3x) + x(4i + x)) fx = (12i + 3x + (4i * x + x * x)) fx = (12i + 3x + (4ix + x2)) Reorder the terms: fx = (12i + 4ix + 3x + x2) fx = (12i + 4ix + 3x + x2) Solving fx = 12i + 4ix + 3x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 12ix-1 + 4i + 3 + x Simplifying f = 12ix-1 + 4i + 3 + x Reorder the terms: f = 3 + 4i + 12ix-1 + x
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