Your answer is wrong anyway. (This should be clear since if you put in q=-33, one side will be positive and the other side negative.) This is just simple distributing and rearranging:
1*4200*(45-q) = 1.5*2400*(q-20)
1*4200*45 - 1*4200*q = 1.5*2400*q - 1.5*2400*20
189000 - 4200q = 3600q - 72000
189000+72000 = 3600q + 4200q
261000 = 7800q
q = 261000/7800
The answer is 33.4615 give or take a few places.
Testimonial: "Thanks, only it was not a -33 it was ~33, (approx).Teaching myself so your help was really appreciated. thanks again for detail in your answer!"
Hi,
1*4200(45-q)=1.5*2400*(q-20)
4200(45-q)=3600(q-20)........( 1.5*2400=3600)
L.H.S, Multiplying 4200 with 45 and q(opening the bracket). Similarly,in R.H.S,Multiplying 3600 with q and 20
189000-4200q=3600q-72000
Taking similar terms on one side, 189000+72000=261000 and 3600q+4200q=7800q
261000=7800q.
q=26100/7800
q=33.461
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