What is the answer to x/(2/5 (x-2))=4x ?

The answer to x/(2/5 (x-2))=4x is x=0,x= 21/8

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x/(2/5 (x-2))=4x

\frac{x}{\frac{2}{5} ( x - 2 )} = 4 x

x = 0, x = \frac{21}{8}

Decimal Notation

x = 0, x = 2.625

Solution steps

\frac{x}{\frac{2}{5} ( x - 2 )} = 4 x

Simplify

\frac{x}{\frac{2}{5} ( x - 2 )} : \frac{5 x}{2 ( x - 2 )}

\frac{5 x}{2 ( x - 2 )} = 4 x

Multiply both sides by

2 (x - 2)

5 x = 8 x (x - 2)

Solve

5 x = 8 x (x - 2) : x = 0, x = \frac{21}{8}

x = 0, x = \frac{21}{8}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0, x = \frac{21}{8}

x + \frac{1}{x} = 10

1 = \frac{10}{x}

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

x + \frac{1}{x} = 94

\frac{2}{2 x - 6} = \frac{x + 8}{15}

What is the answer to x/(2/5 (x-2))=4x ?
The answer to x/(2/5 (x-2))=4x is x=0,x= 21/8
Solve for x: x/(2/5 (x-2))=4x
The solution is x=0,x= 21/8