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Simplifying f(x) = (x + -3i)(x + 3i) Multiply f * x fx = (x + -3i)(x + 3i) Reorder the terms: fx = (-3i + x)(x + 3i) Reorder the terms: fx = (-3i + x)(3i + x) Multiply (-3i + x) * (3i + x) fx = (-3i * (3i + x) + x(3i + x)) fx = ((3i * -3i + x * -3i) + x(3i + x)) Reorder the terms: fx = ((-3ix + -9i2) + x(3i + x)) fx = ((-3ix + -9i2) + x(3i + x)) fx = (-3ix + -9i2 + (3i * x + x * x)) fx = (-3ix + -9i2 + (3ix + x2)) Reorder the terms: fx = (-3ix + 3ix + -9i2 + x2) Combine like terms: -3ix + 3ix = 0 fx = (0 + -9i2 + x2) fx = (-9i2 + x2) Solving fx = -9i2 + 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 = -9i2x-1 + x Simplifying f = -9i2x-1 + x
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