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2t+1/t-1=2t-5/t-5
We move all terms to the left:
2t+1/t-1-(2t-5/t-5)=0
Domain of the equation: t!=0
t∈R
Domain of the equation: t-5)!=0We get rid of parentheses
t∈R
2t+1/t-2t+5/t+5-1=0
We multiply all the terms by the denominator
2t*t-2t*t+5*t-1*t+1+5=0
We add all the numbers together, and all the variables
4t+2t*t-2t*t+6=0
Wy multiply elements
2t^2-2t^2+4t+6=0
We add all the numbers together, and all the variables
4t+6=0
We move all terms containing t to the left, all other terms to the right
4t=-6
t=-6/4
t=-1+1/2
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