What is the answer to 3/2+(13)/x =4x ?

The answer to 3/2+(13)/x =4x is x=2,x=-13/8

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3/2+(13)/x =4x

\frac{3}{2} + \frac{13}{x} = 4 x

x = 2, x = - \frac{13}{8}

Decimal Notation

x = 2, x = - 1.625

Solution steps

\frac{3}{2} + \frac{13}{x} = 4 x

Multiply by LCM

3 x + 26 = 8 x^{2}

Solve

3 x + 26 = 8 x^{2} : x = 2, x = - \frac{13}{8}

x = 2, x = - \frac{13}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - \frac{13}{8}

\frac{- 4 a + 8}{a + 3} = 0

a^{- 1} = - a

\frac{1000}{y} + y = 70

\frac{2 π}{x} = \frac{1}{3}

\frac{- 16}{x + 3} = \frac{- 10}{x}

What is the answer to 3/2+(13)/x =4x ?
The answer to 3/2+(13)/x =4x is x=2,x=-13/8
Solve for x: 3/2+(13)/x =4x
The solution is x=2,x=-13/8