Question

Solve 4/x + 8/x+2 = 4

Answer 1

x = 0 and x = 3

Explanation:

I will assume that you mean:

4 8

---- + --------- = 4

x x + 2

Here the LCD is x(x + 2).

Multiplying all 3 terms by x(x + 2), we get:

4(x + 2) + 8x = 4(x)(x + 2), or

4x + 8 + 8x = 4x^2 + 8x

Cancelling the 8x terms, we have:

12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.

Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.