∣z+4∣=12 \left| z + 4 \right| = 12 ∣z+4∣=12
To solve ∣z+4∣=12 \left| z + 4 \right| = 12 ∣z+4∣=12, consider the two cases:
1. z+4=12 z + 4 = 12 z+4=12 gives z=8 z = 8 z=8
2. z+4=−12 z + 4 = -12 z+4=−12 gives z=−16 z = -16 z=−16
Thus, the solutions are z=8 z = 8 z=8 and z=−16 z = -16 z=−16.
z=−16 z = -16 z=−16, z=8 z = 8 z=8