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Simplifying f(x) = (x + -4)(x + -8i) Multiply f * x fx = (x + -4)(x + -8i) Reorder the terms: fx = (-4 + x)(x + -8i) Reorder the terms: fx = (-4 + x)(-8i + x) Multiply (-4 + x) * (-8i + x) fx = (-4(-8i + x) + x(-8i + x)) fx = ((-8i * -4 + x * -4) + x(-8i + x)) fx = ((32i + -4x) + x(-8i + x)) fx = (32i + -4x + (-8i * x + x * x)) fx = (32i + -4x + (-8ix + x2)) Reorder the terms: fx = (32i + -8ix + -4x + x2) fx = (32i + -8ix + -4x + x2) Solving fx = 32i + -8ix + -4x + 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 = 32ix-1 + -8i + -4 + x Simplifying f = 32ix-1 + -8i + -4 + x Reorder the terms: f = -4 + -8i + 32ix-1 + x
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