What is the answer to (4x)/(x+3)-1/x = 1/x ?

The answer to (4x)/(x+3)-1/x = 1/x is x= 3/2 ,x=-1

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(4x)/(x+3)-1/x = 1/x

\frac{4 x}{x + 3} - \frac{1}{x} = \frac{1}{x}

x = \frac{3}{2}, x = - 1

Decimal Notation

x = 1.5, x = - 1

Solution steps

\frac{4 x}{x + 3} - \frac{1}{x} = \frac{1}{x}

Multiply by LCM

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

Solve

4 x^{2} - (x + 3) = x + 3 : x = \frac{3}{2}, x = - 1

x = \frac{3}{2}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 0

Combine undefined points with solutions:

x = \frac{3}{2}, x = - 1

\frac{5}{x - 2} = \frac{2}{x + 1}

\frac{6 x ^{2} + 18 x}{2 x ^{3}} = \frac{5}{x}

2 x - 2 x^{- 2} = 0

\frac{1}{x} - 6 = - 5 x

300000 x - \frac{1505000}{x ^{2}} = 0

What is the answer to (4x)/(x+3)-1/x = 1/x ?
The answer to (4x)/(x+3)-1/x = 1/x is x= 3/2 ,x=-1
Solve for x: (4x)/(x+3)-1/x = 1/x
The solution is x= 3/2 ,x=-1