(3+2i)=(5-7i)

Solution for (3+2i)=(5-7i) equation:

Simplifying
(3 + 2i) = (5 + -7i)

Remove parenthesis around (3 + 2i)
3 + 2i = (5 + -7i)

Remove parenthesis around (5 + -7i)
3 + 2i = 5 + -7i

Solving
3 + 2i = 5 + -7i

Solving for variable 'i'.

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

Add '7i' to each side of the equation.
3 + 2i + 7i = 5 + -7i + 7i

Combine like terms: 2i + 7i = 9i
3 + 9i = 5 + -7i + 7i

Combine like terms: -7i + 7i = 0
3 + 9i = 5 + 0
3 + 9i = 5

Add '-3' to each side of the equation.
3 + -3 + 9i = 5 + -3

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

Combine like terms: 5 + -3 = 2
9i = 2

Divide each side by '9'.
i = 0.2222222222

Simplifying
i = 0.2222222222