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1. I have tried to simplify this algebraic equation, although I am having trouble collecting like terms at the end. So far my solution is for the equation:

3/4x+1 - 4/x+2 =2

Is...

3(x+2)-4(4x+1) -2(4x+1)(x+2)

=3x+6 -16x+4 -2(4x^2+9x+3)

=3x+6-16x+4 (-8x^2+9x+3)

I cannot seem to prove that the solution to this equation simplifies to 8x^2+31x+2=0. I have understood that it is quadratic although I am having trouble collecting like terms to produce 31x

2. Where did your denominator go?
3. What do you mean?
4. Your algebra's a bit wrong... look at this

3/4x+1 - 4/x+2 =2

3(x+2)-4(4x+1) -2(4x+1)(x+2) = 0

3x + 6 - 16x - 4 - 8x^2 - 18x - 4 = 0

-8x^2 - 31x - 2 = 0

8x^2 + 31x + 2 = 0
5. (Original post by Sophie Maywood)
I have tried to simplify this algebraic equation, although I am having trouble collecting like terms at the end. So far my solution is for the equation:

3/4x+1 - 4/x+2 =2

Is...

3(x+2)-4(4x+1) -2(4x+1)(x+2)

=3x+6 -16x+4 -2(4x^2+9x+3)

=3x+6-16x+4 (-8x^2+9x+3)

I cannot seem to prove that the solution to this equation simplifies to 8x^2+31x+2=0. I have understood that it is quadratic although I am having trouble collecting like terms to produce 31x

Ok you need

In the next line you have expanded incorrectly.

A negative number multiplied by a positive number gives a negative answer.

2 x 1 does not equal 3.
6. Ok how stupid of me- I see clearly where I have gone wrong thanks!

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Updated: November 10, 2008
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