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

The answer to x/(x-4)=2x is x= 9/2 ,x=0

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x/(x-4)=2x

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

x = \frac{9}{2}, x = 0

Decimal Notation

x = 4.5, x = 0

Solution steps

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

Multiply both sides by

x - 4

x = 2 x (x - 4)

Solve

x = 2 x (x - 4) : x = \frac{9}{2}, x = 0

x = \frac{9}{2}, x = 0

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{9}{2}, x = 0

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

\frac{10}{x} = 2 x + 8

\frac{5}{2 x} = \frac{1}{6}

7 x^{- 3} = 98

x, y = \frac{t}{x}