(-0.4+0.9i)-(-0.6+i)=0

Solution for (-0.4+0.9i)-(-0.6+i)=0 equation:

Simplifying
(-0.4 + 0.9i) + -1(-0.6 + i) = 0

Remove parenthesis around (-0.4 + 0.9i)
-0.4 + 0.9i + -1(-0.6 + i) = 0
-0.4 + 0.9i + (-0.6 * -1 + i * -1) = 0
-0.4 + 0.9i + (0.6 + -1i) = 0

Reorder the terms:
-0.4 + 0.6 + 0.9i + -1i = 0

Combine like terms: -0.4 + 0.6 = 0.2
0.2 + 0.9i + -1i = 0

Combine like terms: 0.9i + -1i = -0.1i
0.2 + -0.1i = 0

Solving
0.2 + -0.1i = 0

Solving for variable 'i'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.1i = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.1i = 0 + -0.2
-0.1i = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.1i = -0.2

Divide each side by '-0.1'.
i = 2

Simplifying
i = 2