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Simplifying f(x) = (x + -5i)(x + 5i) Multiply f * x fx = (x + -5i)(x + 5i) Reorder the terms: fx = (-5i + x)(x + 5i) Reorder the terms: fx = (-5i + x)(5i + x) Multiply (-5i + x) * (5i + x) fx = (-5i * (5i + x) + x(5i + x)) fx = ((5i * -5i + x * -5i) + x(5i + x)) Reorder the terms: fx = ((-5ix + -25i2) + x(5i + x)) fx = ((-5ix + -25i2) + x(5i + x)) fx = (-5ix + -25i2 + (5i * x + x * x)) fx = (-5ix + -25i2 + (5ix + x2)) Reorder the terms: fx = (-5ix + 5ix + -25i2 + x2) Combine like terms: -5ix + 5ix = 0 fx = (0 + -25i2 + x2) fx = (-25i2 + x2) Solving fx = -25i2 + 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 = -25i2x-1 + x Simplifying f = -25i2x-1 + x
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