(5+12i)z=63+16i

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Solution for (5+12i)z=63+16i equation:


Simplifying
(5 + 12i) * z = 63 + 16i

Reorder the terms for easier multiplication:
z(5 + 12i) = 63 + 16i
(5 * z + 12i * z) = 63 + 16i

Reorder the terms:
(12iz + 5z) = 63 + 16i
(12iz + 5z) = 63 + 16i

Solving
12iz + 5z = 63 + 16i

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-16i' to each side of the equation.
12iz + -16i + 5z = 63 + 16i + -16i

Reorder the terms:
-16i + 12iz + 5z = 63 + 16i + -16i

Combine like terms: 16i + -16i = 0
-16i + 12iz + 5z = 63 + 0
-16i + 12iz + 5z = 63

Add '-5z' to each side of the equation.
-16i + 12iz + 5z + -5z = 63 + -5z

Combine like terms: 5z + -5z = 0
-16i + 12iz + 0 = 63 + -5z
-16i + 12iz = 63 + -5z

Reorder the terms:
-63 + -16i + 12iz + 5z = 63 + -5z + -63 + 5z

Reorder the terms:
-63 + -16i + 12iz + 5z = 63 + -63 + -5z + 5z

Combine like terms: 63 + -63 = 0
-63 + -16i + 12iz + 5z = 0 + -5z + 5z
-63 + -16i + 12iz + 5z = -5z + 5z

Combine like terms: -5z + 5z = 0
-63 + -16i + 12iz + 5z = 0

The solution to this equation could not be determined.

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