(4+-9i+-3in+1)+3ni=5-9i

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Solution for (4+-9i+-3in+1)+3ni=5-9i equation:


Simplifying
(4 + -9i + -3in + 1) + 3ni = 5 + -9i

Reorder the terms:
(4 + 1 + -9i + -3in) + 3ni = 5 + -9i

Combine like terms: 4 + 1 = 5
(5 + -9i + -3in) + 3ni = 5 + -9i

Remove parenthesis around (5 + -9i + -3in)
5 + -9i + -3in + 3ni = 5 + -9i

Combine like terms: -3in + 3in = 0
5 + -9i + 0 = 5 + -9i
5 + -9i = 5 + -9i

Add '-5' to each side of the equation.
5 + -5 + -9i = 5 + -5 + -9i

Combine like terms: 5 + -5 = 0
0 + -9i = 5 + -5 + -9i
-9i = 5 + -5 + -9i

Combine like terms: 5 + -5 = 0
-9i = 0 + -9i
-9i = -9i

Add '9i' to each side of the equation.
-9i + 9i = -9i + 9i

Combine like terms: -9i + 9i = 0
0 = -9i + 9i

Combine like terms: -9i + 9i = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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