(10-7i)-(4+3i)=0

Solution for (10-7i)-(4+3i)=0 equation:

Simplifying
(10 + -7i) + -1(4 + 3i) = 0

Remove parenthesis around (10 + -7i)
10 + -7i + -1(4 + 3i) = 0
10 + -7i + (4 * -1 + 3i * -1) = 0
10 + -7i + (-4 + -3i) = 0

Reorder the terms:
10 + -4 + -7i + -3i = 0

Combine like terms: 10 + -4 = 6
6 + -7i + -3i = 0

Combine like terms: -7i + -3i = -10i
6 + -10i = 0

Solving
6 + -10i = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + -10i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -10i = 0 + -6
-10i = 0 + -6

Combine like terms: 0 + -6 = -6
-10i = -6

Divide each side by '-10'.
i = 0.6

Simplifying
i = 0.6