What is the answer to 6/(x^2)-(40)/x =14 ?

The answer to 6/(x^2)-(40)/x =14 is x= 1/7 ,x=-3

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6/(x^2)-(40)/x =14

\frac{6}{x ^{2}} - \frac{40}{x} = 14

x = \frac{1}{7}, x = - 3

Decimal Notation

x = 0.14285 \dots, x = - 3

Solution steps

\frac{6}{x ^{2}} - \frac{40}{x} = 14

Multiply by LCM

6 - 40 x = 14 x^{2}

Solve

6 - 40 x = 14 x^{2} : x = \frac{1}{7}, x = - 3

x = \frac{1}{7}, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{7}, x = - 3

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

\frac{11}{4} = \frac{5}{x}

9 x + \frac{1}{x + 1} = - \frac{x}{x + 1}

\frac{3}{x ^{2}} - \frac{47}{x} = 16

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

What is the answer to 6/(x^2)-(40)/x =14 ?
The answer to 6/(x^2)-(40)/x =14 is x= 1/7 ,x=-3
Solve for x: 6/(x^2)-(40)/x =14
The solution is x= 1/7 ,x=-3