Thread: Solve Equation Algebraically

Solve Equation Algebraically not by graphing. What I did was LCD and cross multiply then stuck.
2/x+2 +3/x-1= -8/5

answer in solution set should be {-4,-1/8}

I assume you meant to type:

2/(x+2) + 3/(x-1) = -8/5

Combining terms on the left is a good first step:





Cross-multiplying is a good second step:



Now, distributing, we will find a quadratic in :





Arrange in standard form:



Now can you factor this? We see that we need two factors of 32 whose sum is 33...