(7-9i)+(-6+5i)=1-4

Solution for (7-9i)+(-6+5i)=1-4 equation:

Simplifying
(7 + -9i) + (-6 + 5i) = 1 + -4

Remove parenthesis around (7 + -9i)
7 + -9i + (-6 + 5i) = 1 + -4

Remove parenthesis around (-6 + 5i)
7 + -9i + -6 + 5i = 1 + -4

Reorder the terms:
7 + -6 + -9i + 5i = 1 + -4

Combine like terms: 7 + -6 = 1
1 + -9i + 5i = 1 + -4

Combine like terms: -9i + 5i = -4i
1 + -4i = 1 + -4

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

Solving
1 + -4i = -3

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + -4i = -3 + -1

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

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

Divide each side by '-4'.
i = 1

Simplifying
i = 1