Solve this rational equation.

\({2 \over x-3} - {4 \over x+3} = {8 \over x^2-9}\)

AdamTaurus
Sep 12, 2017

#1**+1 **

Solve for x:

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

Look for a polynomial to multiply both sides by in order to clear fractions.

Multiply both sides by x^2 - 9:

2 (x + 3) - 4 (x - 3) = 8

Write the linear polynomial on the left-hand side in standard form.

Expand out terms of the left-hand side:

18 - 2 x = 8

Isolate terms with x to the left-hand side.

Subtract 18 from both sides:

-2 x = -10

Solve for x.

Divide both sides by -2:

**x = 5**

Guest Sep 12, 2017