(4+6i)-(1-i)=

Solution for (4+6i)-(1-i)= equation:

Simplifying
(4 + 6i) + -1(1 + -1i) = 0

Remove parenthesis around (4 + 6i)
4 + 6i + -1(1 + -1i) = 0
4 + 6i + (1 * -1 + -1i * -1) = 0
4 + 6i + (-1 + 1i) = 0

Reorder the terms:
4 + -1 + 6i + 1i = 0

Combine like terms: 4 + -1 = 3
3 + 6i + 1i = 0

Combine like terms: 6i + 1i = 7i
3 + 7i = 0

Solving
3 + 7i = 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 + 7i = 0 + -3

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

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

Divide each side by '7'.
i = -0.4285714286

Simplifying
i = -0.4285714286