+895 Solve this rational equation.
\({2 \over x-3} - {4 \over x+3} = {8 \over x^2-9}\)
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
