(3-7i)-(-7-9i)=10+2i

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Solution for (3-7i)-(-7-9i)=10+2i equation: 


Simplifying
(3 + -7i) + -1(-7 + -9i) = 10 + 2i

Remove parenthesis around (3 + -7i)
3 + -7i + -1(-7 + -9i) = 10 + 2i
3 + -7i + (-7 * -1 + -9i * -1) = 10 + 2i
3 + -7i + (7 + 9i) = 10 + 2i

Reorder the terms:
3 + 7 + -7i + 9i = 10 + 2i

Combine like terms: 3 + 7 = 10
10 + -7i + 9i = 10 + 2i

Combine like terms: -7i + 9i = 2i
10 + 2i = 10 + 2i

Add '-10' to each side of the equation.
10 + -10 + 2i = 10 + -10 + 2i

Combine like terms: 10 + -10 = 0
0 + 2i = 10 + -10 + 2i
2i = 10 + -10 + 2i

Combine like terms: 10 + -10 = 0
2i = 0 + 2i
2i = 2i

Add '-2i' to each side of the equation.
2i + -2i = 2i + -2i

Combine like terms: 2i + -2i = 0
0 = 2i + -2i

Combine like terms: 2i + -2i = 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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