What is the answer to (4x)/(x+4)+3= 2/x ?

The answer to (4x)/(x+4)+3= 2/x is x= 4/7 ,x=-2

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(4x)/(x+4)+3= 2/x

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

x = \frac{4}{7}, x = - 2

Decimal Notation

x = 0.57142 \dots, x = - 2

Solution steps

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

Multiply by LCM

4 x^{2} + 3 x (x + 4) = 2 (x + 4)

Solve

4 x^{2} + 3 x (x + 4) = 2 (x + 4) : x = \frac{4}{7}, x = - 2

x = \frac{4}{7}, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 0

Combine undefined points with solutions:

x = \frac{4}{7}, x = - 2

4 + \frac{3}{w - 2} = \frac{7}{w - 2}

\frac{x}{( x + 1 )} = 0

2 - (y - 8)^{- 1} = 6 (y - 8)^{- 2}

\frac{1}{x ^{4}} = 16

y, x = 4 - \frac{1}{y}

What is the answer to (4x)/(x+4)+3= 2/x ?
The answer to (4x)/(x+4)+3= 2/x is x= 4/7 ,x=-2
Solve for x: (4x)/(x+4)+3= 2/x
The solution is x= 4/7 ,x=-2