3+2i=10-i

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Solution for 3+2i=10-i equation: 


Simplifying
3 + 2i = 10 + -1i

Solving
3 + 2i = 10 + -1i

Solving for variable 'i'.

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

Add 'i' to each side of the equation.
3 + 2i + i = 10 + -1i + i

Combine like terms: 2i + i = 3i
3 + 3i = 10 + -1i + i

Combine like terms: -1i + i = 0
3 + 3i = 10 + 0
3 + 3i = 10

Add '-3' to each side of the equation.
3 + -3 + 3i = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 3i = 10 + -3
3i = 10 + -3

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

Divide each side by '3'.
i = 2.333333333

Simplifying
i = 2.333333333

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