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

The answer to x/(2x-3)= 4/x is x=6,x=2

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

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

x = 6, x = 2

Solution steps

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

Cross multiply

x^{2} = (2 x - 3) \cdot 4

Solve

x^{2} = (2 x - 3) \cdot 4 : x = 6, x = 2

x = 6, x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}, x = 0

Combine undefined points with solutions:

x = 6, x = 2

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

\frac{1}{1 + \frac{1}{x}} = 16

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

\frac{4}{x - 2} - \frac{15}{x} = 2

y, \frac{- 2 x - y}{x + 2 y} = 0