[(6+7i)-(9+3i)]-(5-7i)=

Solution for [(6+7i)-(9+3i)]-(5-7i)= equation:

Simplifying
[(6 + 7i) + -1(9 + 3i)] + -1(5 + -7i) = 0

Remove parenthesis around (6 + 7i)
[6 + 7i + -1(9 + 3i)] + -1(5 + -7i) = 0
[6 + 7i + (9 * -1 + 3i * -1)] + -1(5 + -7i) = 0
[6 + 7i + (-9 + -3i)] + -1(5 + -7i) = 0

Reorder the terms:
[6 + -9 + 7i + -3i] + -1(5 + -7i) = 0

Combine like terms: 6 + -9 = -3
[-3 + 7i + -3i] + -1(5 + -7i) = 0

Combine like terms: 7i + -3i = 4i
[-3 + 4i] + -1(5 + -7i) = 0

Remove brackets around [-3 + 4i]
-3 + 4i + -1(5 + -7i) = 0
-3 + 4i + (5 * -1 + -7i * -1) = 0
-3 + 4i + (-5 + 7i) = 0

Reorder the terms:
-3 + -5 + 4i + 7i = 0

Combine like terms: -3 + -5 = -8
-8 + 4i + 7i = 0

Combine like terms: 4i + 7i = 11i
-8 + 11i = 0

Solving
-8 + 11i = 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 + 11i = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 11i = 0 + 8
11i = 0 + 8

Combine like terms: 0 + 8 = 8
11i = 8

Divide each side by '11'.
i = 0.7272727273

Simplifying
i = 0.7272727273