What is the answer to (-3x+4)/(8x)=x ?

The answer to (-3x+4)/(8x)=x is x=(-3+sqrt(137))/(16),x=(-3-sqrt(137))/(16)

Solve for x: (-3x+4)/(8x)=x

The solution is x=(-3+sqrt(137))/(16),x=(-3-sqrt(137))/(16)

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\frac{- 3 x + 4}{8 x} = x

x = \frac{- 3 + 137}{16}, x = \frac{- 3 - 137}{16}

Decimal Notation

x = 0.54404 \dots, x = - 0.91904 \dots

Solution steps

\frac{- 3 x + 4}{8 x} = x

Multiply both sides by

x

\frac{- 3 x + 4}{8} = x^{2}

Solve

\frac{- 3 x + 4}{8} = x^{2} : x = \frac{- 3 + 137}{16}, x = \frac{- 3 - 137}{16}

x = \frac{- 3 + 137}{16}, x = \frac{- 3 - 137}{16}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 3 + 137}{16}, x = \frac{- 3 - 137}{16}

\frac{2}{5} = \frac{10000}{x}

- 9 = - \frac{3}{v}

\frac{4}{7 x} + \frac{3}{56 x} = - 35

\frac{- 36}{( x - 1 ) + 7} = - 2

\frac{4128}{d} = 86

What is the answer to (-3x+4)/(8x)=x ?
The answer to (-3x+4)/(8x)=x is x=(-3+sqrt(137))/(16),x=(-3-sqrt(137))/(16)
Solve for x: (-3x+4)/(8x)=x
The solution is x=(-3+sqrt(137))/(16),x=(-3-sqrt(137))/(16)