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

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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + 7i + 7i = 0

Combine like terms: 7i + 7i = 14i
-8 + 14i = 0

Solving
-8 + 14i = 0

Solving for variable 'i'.

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

Add '8' to each side of the equation.
-8 + 8 + 14i = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 14i = 0 + 8
14i = 0 + 8

Combine like terms: 0 + 8 = 8
14i = 8

Divide each side by '14'.
i = 0.5714285714

Simplifying
i = 0.5714285714