What is the answer to 5/x-2=7x ?

The answer to 5/x-2=7x is x= 5/7 ,x=-1

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5/x-2=7x

\frac{5}{x} - 2 = 7 x

x = \frac{5}{7}, x = - 1

Solution steps

\frac{5}{x} - 2 = 7 x

Multiply both sides by

x

5 - 2 x = 7 x^{2}

Solve

5 - 2 x = 7 x^{2} : x = \frac{5}{7}, x = - 1

x = \frac{5}{7}, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{7}, x = - 1

t, d = \frac{r}{1 + r t}

\frac{9}{w + 3} = \frac{7}{w - 9}

\frac{8}{5 x - 4} = \frac{5}{3 x - 1}

x, g c = \frac{x + y}{x}

\frac{6}{x + 4} = 4 + \frac{4}{x - 2}