How can simplify this and did i do this correctly: (30/100i-75)(10-6i/6i-8)?

Question

the above is what I got from (4-2i)/(-10+5i) multiplied by (3-i)/(-3+i)

written as equation/equation x equation/equation

thank you for any help

Answer 1

(30/100i-75)x(10-6i/6i-8)

=(6/20i-15)x(5-3i/3i-4)

=(6)(5-3i)/(3i-4)(20i-15)

=(30-18i)/(-60-80i-45i+60)

=(30-18i)/(-125i)

 

(4-2i)/(-10+5i)x(3-i)/(-3+i)

=(4-2i)/(-10+5i)x(-1)

=(-4+2i)/(10-5i)

=2(-2+i)/5(2-i)

=-2/5