SOLUTION: Please help me answer this equation: -3x/x+1=-2/x-1

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Question 195563This question is from textbook McDougal Littell Algebra 1
: Please help me answer this equation: -3x/x+1=-2/x-1 This question is from textbook McDougal Littell Algebra 1

Found 2 solutions by shankystud19, jim_thompson5910:
Answer by shankystud19(2) About Me  (Show Source):
You can put this solution on YOUR website!
-3x/x+1= -2/x-1
3x/x+1 = 2/x-1
3x(x-1) = 2(x+1)
multiply these term on their respective sides ie L.H.S and R.H.S
we get
u will get quarditic equation in wich square of x have cofficent 3 and x have cofficeint -5 and x raise to power 0 have cofficent -2
ie 3x2 -5x-2=0
solving the quarditic equation by creating factors
3x2 -6x+x-2=0
3x(x-2)+ 1(x-2)=0
(3x+1)(x-2)=0
ie. 3x+1=0;x-2=0
by solving we get
ans : x= 2,x=-1/3

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28-3x%29%2F%28x%2B1%29=%28-2%29%2F%28x-1%29 Start with the given equation.


Multiply every term on both sides by the LCD %28x%2B1%29%28x-1%29. Doing this will eliminate all of the fractions.


-3x%28x-1%29=-2%28x%2B1%29 Multiply and simplify


-3x%5E2%2B3x=-2x-2 Distribute


-3x%5E2%2B3x%2B2x%2B2=0 Get everything to the left side


-3x%5E2%2B5x%2B2=0 Combine like terms.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=-3, b=5, and c=2


Let's use the quadratic formula to solve for x


x+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


x+=+%28-%285%29+%2B-+sqrt%28+%285%29%5E2-4%28-3%29%282%29+%29%29%2F%282%28-3%29%29 Plug in a=-3, b=5, and c=2


x+=+%28-5+%2B-+sqrt%28+25-4%28-3%29%282%29+%29%29%2F%282%28-3%29%29 Square 5 to get 25.


x+=+%28-5+%2B-+sqrt%28+25--24+%29%29%2F%282%28-3%29%29 Multiply 4%28-3%29%282%29 to get -24


x+=+%28-5+%2B-+sqrt%28+25%2B24+%29%29%2F%282%28-3%29%29 Rewrite sqrt%2825--24%29 as sqrt%2825%2B24%29


x+=+%28-5+%2B-+sqrt%28+49+%29%29%2F%282%28-3%29%29 Add 25 to 24 to get 49


x+=+%28-5+%2B-+sqrt%28+49+%29%29%2F%28-6%29 Multiply 2 and -3 to get -6.


x+=+%28-5+%2B-+7%29%2F%28-6%29 Take the square root of 49 to get 7.


x+=+%28-5+%2B+7%29%2F%28-6%29 or x+=+%28-5+-+7%29%2F%28-6%29 Break up the expression.


x+=+%282%29%2F%28-6%29 or x+=++%28-12%29%2F%28-6%29 Combine like terms.


x+=+-1%2F3 or x+=+2 Simplify.


So the answers are x+=+-1%2F3 or x+=+2