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Simplifying z4 + (1 + -1i) * z2 + I = 0 Reorder the terms for easier multiplication: z4 + z2(1 + -1i) + I = 0 z4 + (1 * z2 + -1i * z2) + I = 0 Reorder the terms: z4 + (-1iz2 + 1z2) + I = 0 z4 + (-1iz2 + 1z2) + I = 0 Reorder the terms: I + -1iz2 + 1z2 + z4 = 0 Solving I + -1iz2 + 1z2 + z4 = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add 'iz2' to each side of the equation. I + -1iz2 + 1z2 + iz2 + z4 = 0 + iz2 Reorder the terms: I + -1iz2 + iz2 + 1z2 + z4 = 0 + iz2 Combine like terms: -1iz2 + iz2 = 0 I + 0 + 1z2 + z4 = 0 + iz2 I + 1z2 + z4 = 0 + iz2 Remove the zero: I + 1z2 + z4 = iz2 Add '-1z2' to each side of the equation. I + 1z2 + -1z2 + z4 = iz2 + -1z2 Combine like terms: 1z2 + -1z2 = 0 I + 0 + z4 = iz2 + -1z2 I + z4 = iz2 + -1z2 Add '-1z4' to each side of the equation. I + z4 + -1z4 = iz2 + -1z2 + -1z4 Combine like terms: z4 + -1z4 = 0 I + 0 = iz2 + -1z2 + -1z4 I = iz2 + -1z2 + -1z4 Simplifying I = iz2 + -1z2 + -1z4
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