What is the answer to (12+13x)/(4x)=x ?

The answer to (12+13x)/(4x)=x is x=4,x=-3/4

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(12+13x)/(4x)=x

\frac{12 + 13 x}{4 x} = x

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

Solution steps

\frac{12 + 13 x}{4 x} = x

Multiply both sides by

x

\frac{12 + 13 x}{4} = x^{2}

Solve

\frac{12 + 13 x}{4} = x^{2} : x = 4, x = - \frac{3}{4}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

y, y^{- 1} = x

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

0 = \frac{- 9 x}{x ^{2} + 1}

\frac{2 y}{2 y + 5} - \frac{1}{3} = - 1

5 x^{- 2} - 24 x^{- 1} - 5 = 0

What is the answer to (12+13x)/(4x)=x ?
The answer to (12+13x)/(4x)=x is x=4,x=-3/4
Solve for x: (12+13x)/(4x)=x
The solution is x=4,x=-3/4