What is the answer to (3x+5)/(8x)=x ?

The answer to (3x+5)/(8x)=x is x=1,x=-5/8

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(3x+5)/(8x)=x

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

x = 1, x = - \frac{5}{8}

Decimal Notation

x = 1, x = - 0.625

Solution steps

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

Multiply both sides by

x

\frac{3 x + 5}{8} = x^{2}

Solve

\frac{3 x + 5}{8} = x^{2} : x = 1, x = - \frac{5}{8}

x = 1, x = - \frac{5}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{5}{8}

540.8075 = \frac{1019.8077}{x}

\frac{14}{x} = 2

\frac{7}{9} = \frac{x}{x - 10}

\frac{3}{( x + 3 ) ^{2}} = 0

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