SOLUTION: I have been trying to solve this. I am getting fustrated with this problem because I just can't get my mind to grasp the steps that it takes to solve it. If you could,show me how t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have been trying to solve this. I am getting fustrated with this problem because I just can't get my mind to grasp the steps that it takes to solve it. If you could,show me how t      Log On


   

Question 337253: I have been trying to solve this. I am getting fustrated with this problem because I just can't get my mind to grasp the steps that it takes to solve it. If you could,show me how to work it out, steps by steps, so I can see if I can grasp it because my teacher is just confusing me more and more when she tries to explain it.
4 - 5 / t+1 = - 1 / t-2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Use a common denominator,%28t%2B1%29%28t-2%29
4+-+5%2F%28t%2B1%29+=+-1%2F%28t-2%29

%284%28t%2B1%29%28t-2%29-5%28t-2%29%2B%28t%2B1%29%29%2F%28%28t%2B1%29%28t-2%29%29=0
%284%28t%5E2-2t%2Bt-2%29-5t%2B10%2Bt%2B1%29%2F%28%28t%2B1%29%28t-2%29%29=0
%284%28t%5E2-t-2%29-4t%2B11%29%2F%28%28t%2B1%29%28t-2%29%29=0
%284t%5E2-4t-8-4t%2B11%29%2F%28%28t%2B1%29%28t-2%29%29=0
%284t%5E2-8t%2B3%29%2F%28%28t%2B1%29%28t-2%29%29=0
Multiply both side by the common denominator,
4t%5E2-8t%2B3=0
Factor
%282t-3%29%282t-1%29=0
Two solutions:
2t-3=0
2t=3
highlight%28t=3%2F2%29
.
.
.
2t-1=0
2t=1
highlight%28t=1%2F2%29