What is the answer to 2/(3x)-5=x ?

The answer to 2/(3x)-5=x is x=(-15+sqrt(249))/6 ,x=(-15-sqrt(249))/6

Solve for x: 2/(3x)-5=x

The solution is x=(-15+sqrt(249))/6 ,x=(-15-sqrt(249))/6

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\frac{2}{3 x} - 5 = x

x = \frac{- 15 + 249}{6}, x = \frac{- 15 - 249}{6}

Decimal Notation

x = 0.12995 \dots, x = - 5.12995 \dots

Solution steps

\frac{2}{3 x} - 5 = x

Multiply both sides by

3 x

2 - 15 x = 3 x^{2}

Solve

2 - 15 x = 3 x^{2} : x = \frac{- 15 + 249}{6}, x = \frac{- 15 - 249}{6}

x = \frac{- 15 + 249}{6}, x = \frac{- 15 - 249}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 15 + 249}{6}, x = \frac{- 15 - 249}{6}

\frac{2}{x - 2} + \frac{3}{x + 2} = 0

2.5 = \frac{102 - 100}{s}

\frac{x ^{2} - 2 x - 2}{x - 3} = 0

\frac{63}{c} = 9

\frac{3 x ( x - 2 )}{2 x - 1} x = 0

What is the answer to 2/(3x)-5=x ?
The answer to 2/(3x)-5=x is x=(-15+sqrt(249))/6 ,x=(-15-sqrt(249))/6
Solve for x: 2/(3x)-5=x
The solution is x=(-15+sqrt(249))/6 ,x=(-15-sqrt(249))/6