What is the answer to 6/(x-8)=3x ?

The answer to 6/(x-8)=3x is x=4+3sqrt(2),x=4-3sqrt(2)

Solve for x: 6/(x-8)=3x

The solution is x=4+3sqrt(2),x=4-3sqrt(2)

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\frac{6}{x - 8} = 3 x

x = 4 + 32, x = 4 - 32

Decimal Notation

x = 8.24264 \dots, x = - 0.24264 \dots

Solution steps

\frac{6}{x - 8} = 3 x

Multiply both sides by

x - 8

6 = 3 x (x - 8)

Solve

6 = 3 x (x - 8) : x = 4 + 32, x = 4 - 32

x = 4 + 32, x = 4 - 32

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = 4 + 32, x = 4 - 32

- \frac{2}{x} = - \frac{5}{x - 6}

\frac{a}{b} = \frac{c}{d + x}

x^{- 2} - 2 x^{- 1} - 35 = 0

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

\frac{9}{x} = 11

What is the answer to 6/(x-8)=3x ?
The answer to 6/(x-8)=3x is x=4+3sqrt(2),x=4-3sqrt(2)
Solve for x: 6/(x-8)=3x
The solution is x=4+3sqrt(2),x=4-3sqrt(2)