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Simplifying z6 + 2i * z3 + -1 = 0 Multiply i * z3 z6 + 2iz3 + -1 = 0 Reorder the terms: -1 + 2iz3 + z6 = 0 Solving -1 + 2iz3 + z6 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2iz3 + 1 + z6 = 0 + 1 Reorder the terms: -1 + 1 + 2iz3 + z6 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2iz3 + z6 = 0 + 1 2iz3 + z6 = 0 + 1 Combine like terms: 0 + 1 = 1 2iz3 + z6 = 1 Add '-1z6' to each side of the equation. 2iz3 + z6 + -1z6 = 1 + -1z6 Combine like terms: z6 + -1z6 = 0 2iz3 + 0 = 1 + -1z6 2iz3 = 1 + -1z6 Divide each side by '2z3'. i = 0.5z-3 + -0.5z3 Simplifying i = 0.5z-3 + -0.5z3
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