What is the answer to 0= 2/(n-2)-6/(n+1) ?

The answer to 0= 2/(n-2)-6/(n+1) is n= 7/2

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0= 2/(n-2)-6/(n+1)

0 = \frac{2}{n - 2} - \frac{6}{n + 1}

n = \frac{7}{2}

Decimal Notation

n = 3.5

Solution steps

0 = \frac{2}{n - 2} - \frac{6}{n + 1}

Multiply by LCM

0 = 2 (n + 1) - 6 (n - 2)

Switch sides

2 (n + 1) - 6 (n - 2) = 0

Expand

2 (n + 1) - 6 (n - 2) : - 4 n + 14

- 4 n + 14 = 0

Move

14

to the right side

- 4 n = - 14

Divide both sides by

- 4

n = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

n = 2, n = - 1

Combine undefined points with solutions:

n = \frac{7}{2}

\frac{3}{x + 2} = \frac{6}{x - 1}

\frac{- 2}{3 v} = - 22

X + \frac{1}{X} = 5

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

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

What is the answer to 0= 2/(n-2)-6/(n+1) ?
The answer to 0= 2/(n-2)-6/(n+1) is n= 7/2
Solve for n: 0= 2/(n-2)-6/(n+1)
The solution is n= 7/2