What is the answer to 2/(3x)-(3x)/(x+7)=2 ?

The answer to 2/(3x)-(3x)/(x+7)=2 is x=-(20+sqrt(610))/(15),x=(sqrt(610)-20)/(15)

Solve for x: 2/(3x)-(3x)/(x+7)=2

The solution is x=-(20+sqrt(610))/(15),x=(sqrt(610)-20)/(15)

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\frac{2}{3 x} - \frac{3 x}{x + 7} = 2

x = - \frac{20 + 610}{15}, x = \frac{610 - 20}{15}

Decimal Notation

x = - 2.97987 \dots, x = 0.31321 \dots

Solution steps

\frac{2}{3 x} - \frac{3 x}{x + 7} = 2

Multiply by LCM

2 (x + 7) - 9 x^{2} = 6 x (x + 7)

Solve

2 (x + 7) - 9 x^{2} = 6 x (x + 7) : x = - \frac{20 + 610}{15}, x = \frac{610 - 20}{15}

x = - \frac{20 + 610}{15}, x = \frac{610 - 20}{15}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 7

Combine undefined points with solutions:

x = - \frac{20 + 610}{15}, x = \frac{610 - 20}{15}

- \frac{7}{x - 9} - 7 = - \frac{3 x}{x - 9}

\frac{1}{x} + \frac{1}{x - 4} = \frac{10}{21}

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

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

\frac{3 x - 2}{2 x + 3} = \frac{3 x - 1}{2 x + 1}

What is the answer to 2/(3x)-(3x)/(x+7)=2 ?
The answer to 2/(3x)-(3x)/(x+7)=2 is x=-(20+sqrt(610))/(15),x=(sqrt(610)-20)/(15)
Solve for x: 2/(3x)-(3x)/(x+7)=2
The solution is x=-(20+sqrt(610))/(15),x=(sqrt(610)-20)/(15)