(6-5j)-(-1+4j)=

Solution for (6-5j)-(-1+4j)= equation:

Simplifying
(6 + -5j) + -1(-1 + 4j) = 0

Remove parenthesis around (6 + -5j)
6 + -5j + -1(-1 + 4j) = 0
6 + -5j + (-1 * -1 + 4j * -1) = 0
6 + -5j + (1 + -4j) = 0

Reorder the terms:
6 + 1 + -5j + -4j = 0

Combine like terms: 6 + 1 = 7
7 + -5j + -4j = 0

Combine like terms: -5j + -4j = -9j
7 + -9j = 0

Solving
7 + -9j = 0

Solving for variable 'j'.

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

Add '-7' to each side of the equation.
7 + -7 + -9j = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9j = 0 + -7
-9j = 0 + -7

Combine like terms: 0 + -7 = -7
-9j = -7

Divide each side by '-9'.
j = 0.7777777778

Simplifying
j = 0.7777777778