Solve the Complex Equation: Modulus of z + 4 Equals 12

$\left| z + 4 \right| = 12$

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$\left| z + 4 \right| = 12$

To solve $\left| z + 4 \right| = 12$ , consider the two cases:

1. $z + 4 = 12$ gives $z = 8$

2. $z + 4 = -12$ gives $z = -16$

Thus, the solutions are $z = 8$ and $z = -16$ .

$z = -16$ , $z = 8$

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