What is the answer to (9x)/8-8/(9x)=0 ?

The answer to (9x)/8-8/(9x)=0 is x= 8/9 ,x=-8/9

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(9x)/8-8/(9x)=0

\frac{9 x}{8} - \frac{8}{9 x} = 0

x = \frac{8}{9}, x = - \frac{8}{9}

Solution steps

\frac{9 x}{8} - \frac{8}{9 x} = 0

Multiply by LCM

81 x^{2} - 64 = 0

Solve

81 x^{2} - 64 = 0 : x = \frac{8}{9}, x = - \frac{8}{9}

x = \frac{8}{9}, x = - \frac{8}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{8}{9}, x = - \frac{8}{9}

\frac{9}{x - 1} = \frac{7}{x + 5}

\frac{3}{x ^{2} + 1} = 0

\frac{42}{x} = \frac{x}{9}

\frac{y + 1}{y + 3} = \frac{3 y}{y - 4}

\frac{13}{4 x + 2} = \frac{5}{10}

What is the answer to (9x)/8-8/(9x)=0 ?
The answer to (9x)/8-8/(9x)=0 is x= 8/9 ,x=-8/9
Solve for x: (9x)/8-8/(9x)=0
The solution is x= 8/9 ,x=-8/9