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Simplifying z + -1 + 2iz * -1i = 0 Reorder the terms for easier multiplication: z + -1 + 2 * -1iz * i = 0 Multiply 2 * -1 z + -1 + -2iz * i = 0 Multiply iz * i z + -1 + -2i2z = 0 Reorder the terms: -1 + -2i2z + z = 0 Solving -1 + -2i2z + z = 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 + -2i2z + 1 + z = 0 + 1 Reorder the terms: -1 + 1 + -2i2z + z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2i2z + z = 0 + 1 -2i2z + z = 0 + 1 Combine like terms: 0 + 1 = 1 -2i2z + z = 1 Add '-1z' to each side of the equation. -2i2z + z + -1z = 1 + -1z Combine like terms: z + -1z = 0 -2i2z + 0 = 1 + -1z -2i2z = 1 + -1z Divide each side by '-2z'. i2 = -0.5z-1 + 0.5 Simplifying i2 = -0.5z-1 + 0.5 Reorder the terms: i2 = 0.5 + -0.5z-1 Reorder the terms: -0.5 + i2 + 0.5z-1 = 0.5 + -0.5z-1 + -0.5 + 0.5z-1 Reorder the terms: -0.5 + i2 + 0.5z-1 = 0.5 + -0.5 + -0.5z-1 + 0.5z-1 Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + i2 + 0.5z-1 = 0.0 + -0.5z-1 + 0.5z-1 -0.5 + i2 + 0.5z-1 = -0.5z-1 + 0.5z-1 Combine like terms: -0.5z-1 + 0.5z-1 = 0.0 -0.5 + i2 + 0.5z-1 = 0.0 The solution to this equation could not be determined.
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