What is the answer to x/(x-1)+3/x = 5/(2x) ?

The answer to x/(x-1)+3/x = 5/(2x) is x= 1/2 ,x=-1

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x/(x-1)+3/x = 5/(2x)

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

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

Decimal Notation

x = 0.5, x = - 1

Solution steps

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

Multiply by LCM

2 x^{2} + 6 (x - 1) = 5 (x - 1)

Solve

2 x^{2} + 6 (x - 1) = 5 (x - 1) : x = \frac{1}{2}, x = - 1

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

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

\frac{2 x}{2 x + 1} = \frac{5}{4 - x}

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

y, y^{- 4} = z

- 1 + \frac{3 x}{x + 5} = \frac{1}{x + 5}

x - \frac{x + 7}{x + 5} = \frac{5}{x + 5}

What is the answer to x/(x-1)+3/x = 5/(2x) ?
The answer to x/(x-1)+3/x = 5/(2x) is x= 1/2 ,x=-1
Solve for x: x/(x-1)+3/x = 5/(2x)
The solution is x= 1/2 ,x=-1