What is the answer to 6/(x-2)-2x=0 ?

The answer to 6/(x-2)-2x=0 is x=-1,x=3

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6/(x-2)-2x=0

\frac{6}{x - 2} - 2 x = 0

x = - 1, x = 3

Solution steps

\frac{6}{x - 2} - 2 x = 0

Multiply both sides by

x - 2

6 - 2 x (x - 2) = 0

Solve

6 - 2 x (x - 2) = 0 : x = - 1, x = 3

x = - 1, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 1, x = 3

\frac{x - 1}{x + 4} = \frac{11}{19}

\frac{5}{a + 5} = \frac{3}{8}

\frac{6}{n + 9} = \frac{10}{5}

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

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