# Math Help - solve for x

1. ## solve for x

i need help with the following problem.

solve for x:

1/x-1 + x/x+2 = 2

2. Originally Posted by algebra2
i need help with the following problem.

solve for x:

1/x-1 + x/x+2 = 2
though this is not what you typed, i assume you mean $\frac 1{x - 1} + \frac x{x + 2} = 2$

multiply through by $(x - 1)(x + 2)$ we get:

$x + 2 + x(x - 1) = 2(x - 1)(x + 2)$

can you take it from here?

3. i understand that you multiplied by the common denominator, but no i cannot take it from there.

4. Originally Posted by algebra2
i understand that you multiplied by the common denominator, but no i cannot take it from there.
do you know how to expand brackets?

expand all the brackets, then bring everything to one side. you will end up with a quadratic equation to solve

5. Continuing From Jhevon:

$x+2+x^2-x=2(x^2+x-2)$
$x+2+x^2-x-2x^2+2x-4$
$-x^2-2x+6=0$