What is the answer to x/(x+4)+4/(x+4)+2=0 ?

The answer to x/(x+4)+4/(x+4)+2=0 is No Solution

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x/(x+4)+4/(x+4)+2=0

\frac{x}{x + 4} + \frac{4}{x + 4} + 2 = 0

No Solution

Solution steps

\frac{x}{x + 4} + \frac{4}{x + 4} + 2 = 0

Multiply both sides by

x + 4

x + 4 + 2 (x + 4) = 0

Move

4

to the right side

x + 2 (x + 4) = - 4

Expand

2 (x + 4) : 2 x + 8

x + 2 x + 8 = - 4

Add similar elements:

x + 2 x = 3 x

3 x + 8 = - 4

Move

8

to the right side

3 x = - 12

Divide both sides by

3

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 4

Since the equation is undefined for:

- 4

No Solution

\frac{10}{x ^{2} - 3 x + 5} = x + 1

\frac{x + 3}{3} - \frac{4}{x + 2} = \frac{x}{3}

u + 22 = 13 - \frac{18}{u}

1 - \frac{5}{x} = - 4 x

3 - \frac{4 x}{x + 4} = - \frac{4}{x + 4}

What is the answer to x/(x+4)+4/(x+4)+2=0 ?
The answer to x/(x+4)+4/(x+4)+2=0 is No Solution
Solve for x: x/(x+4)+4/(x+4)+2=0
The solution is No Solution