(-6+7i)-(-5-2i)=0

Solution for (-6+7i)-(-5-2i)=0 equation:

Simplifying
(-6 + 7i) + -1(-5 + -2i) = 0

Remove parenthesis around (-6 + 7i)
-6 + 7i + -1(-5 + -2i) = 0
-6 + 7i + (-5 * -1 + -2i * -1) = 0
-6 + 7i + (5 + 2i) = 0

Reorder the terms:
-6 + 5 + 7i + 2i = 0

Combine like terms: -6 + 5 = -1
-1 + 7i + 2i = 0

Combine like terms: 7i + 2i = 9i
-1 + 9i = 0

Solving
-1 + 9i = 0

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 + 9i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9i = 0 + 1
9i = 0 + 1

Combine like terms: 0 + 1 = 1
9i = 1

Divide each side by '9'.
i = 0.1111111111

Simplifying
i = 0.1111111111