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Simplifying z2 + -1iz + 12 = 0 Reorder the terms: 12 + -1iz + z2 = 0 Solving 12 + -1iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1iz + -12 + z2 = 0 + -12 Reorder the terms: 12 + -12 + -1iz + z2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1iz + z2 = 0 + -12 -1iz + z2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1iz + z2 = -12 Add '-1z2' to each side of the equation. -1iz + z2 + -1z2 = -12 + -1z2 Combine like terms: z2 + -1z2 = 0 -1iz + 0 = -12 + -1z2 -1iz = -12 + -1z2 Divide each side by '-1z'. i = 12z-1 + z Simplifying i = 12z-1 + z
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