(-1+4i)+(-9-2i)=

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Solution for (-1+4i)+(-9-2i)= equation:


Simplifying
(-1 + 4i) + (-9 + -2i) = 0

Remove parenthesis around (-1 + 4i)
-1 + 4i + (-9 + -2i) = 0

Remove parenthesis around (-9 + -2i)
-1 + 4i + -9 + -2i = 0

Reorder the terms:
-1 + -9 + 4i + -2i = 0

Combine like terms: -1 + -9 = -10
-10 + 4i + -2i = 0

Combine like terms: 4i + -2i = 2i
-10 + 2i = 0

Solving
-10 + 2i = 0

Solving for variable 'i'.

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

Add '10' to each side of the equation.
-10 + 10 + 2i = 0 + 10

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

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

Divide each side by '2'.
i = 5

Simplifying
i = 5

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