(2+3i)+(1-6i)=

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Solution for (2+3i)+(1-6i)= equation:


Simplifying
(2 + 3i) + (1 + -6i) = 0

Remove parenthesis around (2 + 3i)
2 + 3i + (1 + -6i) = 0

Remove parenthesis around (1 + -6i)
2 + 3i + 1 + -6i = 0

Reorder the terms:
2 + 1 + 3i + -6i = 0

Combine like terms: 2 + 1 = 3
3 + 3i + -6i = 0

Combine like terms: 3i + -6i = -3i
3 + -3i = 0

Solving
3 + -3i = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -3 + -3i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3i = 0 + -3
-3i = 0 + -3

Combine like terms: 0 + -3 = -3
-3i = -3

Divide each side by '-3'.
i = 1

Simplifying
i = 1

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