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 747560: 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 josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The equation may be more clearly understood in this form first:
4%2F%28x%2B2%29-1%2F%283x%29=10%2F%28x%2B2%29

Identify the common denominator of 3x(x+2), and multiply the left member and the right member by 3x(x+2), which will clear the denominators from each term.

3x%28x%2B2%29%284%2F%28x%2B2%29-1%2F%283x%29%29=3x%28x%2B2%29%2810%2F%28x%2B2%29%29
12x-%28x%2B2%29=30x
12x-x-2=30x
11x-2=30x
-2=21x
highlight%28x=-2%2F21%29

This seems to NOT be a quadratic equation.