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Simplifying z2 + -1iz + 6 = O Reorder the terms: 6 + -1iz + z2 = O Solving 6 + -1iz + z2 = O Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1iz + -6 + z2 = -6 + O Reorder the terms: 6 + -6 + -1iz + z2 = -6 + O Combine like terms: 6 + -6 = 0 0 + -1iz + z2 = -6 + O -1iz + z2 = -6 + O Add '-1z2' to each side of the equation. -1iz + z2 + -1z2 = -6 + O + -1z2 Combine like terms: z2 + -1z2 = 0 -1iz + 0 = -6 + O + -1z2 -1iz = -6 + O + -1z2 Divide each side by '-1z'. i = 6z-1 + -1z-1O + z Simplifying i = 6z-1 + -1z-1O + z
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