Step 1 :The problem is asking to simplify a complex number division. To solve this, we need to divide both the real and imaginary parts of the numerator by the denominator.
Step 2 :Given the numerator as (-8-10i) and the denominator as -2.
Step 3 :Divide both the real and imaginary parts of the numerator by the denominator.
Step 4 :The result of the division is a complex number with real part 4 and imaginary part 5.
Step 5 :This matches with option b in the multiple choice answers.
Step 6 :Final Answer: \(\boxed{4+5 i}\)