SOLUTION: Solve the following quadratic equation a) 4(x+2)^-1 - (3x)^-1 = 10(x+2)^-1 Can you please help me out? Thanks so much in advance:) Can you also please show the steps it would

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following quadratic equation a) 4(x+2)^-1 - (3x)^-1 = 10(x+2)^-1 Can you please help me out? Thanks so much in advance:) Can you also please show the steps it would       Log On


   

Question 747563: Solve the following quadratic equation
a) 4(x+2)^-1 - (3x)^-1 = 10(x+2)^-1
Can you please help me out? Thanks so much in advance:)
Can you also please show the steps it would really help me understand:)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
We'll rewrite it to make it easier to work with. In particular we move all like terms to the same side of the equation:



which simplifies to...

%0D%0A%28-+1%29%2F%283x%29+=+6%2F%28x%2B2%29%0D%0A

Now notice that this is a proportion, so we can cross multiply then divide:
%0D%0A%28-1%29%28x%2B2%29=%286%29%283x%29%0D%0A
%0D%0A-x-2=18x%0D%0A

-x%2Bx-2=18x%2Bx
then x = -2/19


:)