3+0i=(0+1)+2i

Solution for 3+0i=(0+1)+2i equation:

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

Anything times zero is zero.
3 + 0i = (0 + 1) + 2i

Combine like terms: 3 + 0 = 3
3 = (0 + 1) + 2i

Combine like terms: 0 + 1 = 1
3 = (1) + 2i
3 = 1 + 2i

Solving
3 = 1 + 2i

Solving for variable 'i'.

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

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

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

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

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

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

Divide each side by '-2'.
i = 1

Simplifying
i = 1