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Simplifying abs(z + 1) + z + i = 0 Reorder the terms: abs(1 + z) + z + i = 0 (1 * abs + z * abs) + z + i = 0 (1abs + absz) + z + i = 0 Reorder the terms: 1abs + absz + i + z = 0 Solving 1abs + absz + i + z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1i' to each side of the equation. 1abs + absz + i + -1i + z = 0 + -1i Combine like terms: i + -1i = 0 1abs + absz + 0 + z = 0 + -1i 1abs + absz + z = 0 + -1i Remove the zero: 1abs + absz + z = -1i Add '-1z' to each side of the equation. 1abs + absz + z + -1z = -1i + -1z Combine like terms: z + -1z = 0 1abs + absz + 0 = -1i + -1z 1abs + absz = -1i + -1z Reorder the terms: 1abs + absz + i + z = -1i + i + -1z + z Combine like terms: -1i + i = 0 1abs + absz + i + z = 0 + -1z + z 1abs + absz + i + z = -1z + z Combine like terms: -1z + z = 0 1abs + absz + i + z = 0 The solution to this equation could not be determined.
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