What is the answer to 36(n/(n+1))=n^2+n ?

The answer to 36(n/(n+1))=n^2+n is n=0,n=5,n=-7

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36(n/(n+1))=n^2+n

36 (\frac{n}{n + 1}) = n^{2} + n

n = 0, n = 5, n = - 7

Solution steps

36 (\frac{n}{n + 1}) = n^{2} + n

Simplify

36 (\frac{n}{n + 1}) : \frac{36 n}{n + 1}

\frac{36 n}{n + 1} = n^{2} + n

Multiply both sides by

n + 1

36 n = n^{2} (n + 1) + n (n + 1)

Solve

36 n = n^{2} (n + 1) + n (n + 1) : n = 0, n = 5, n = - 7

n = 0, n = 5, n = - 7

Verify Solutions

Find undefined (singularity) points:

n = - 1

Combine undefined points with solutions:

n = 0, n = 5, n = - 7

\frac{( 2 x - 1 )}{( 3 x - 3 )} - 5 x = 0

\frac{5}{10} = \frac{7}{x}

\frac{x}{x} = 4 x + 30

\frac{( 2 - x )}{( x - 2 )} = 12

\frac{3 + ( x - 2 )}{( x - 4 )} = 2

What is the answer to 36(n/(n+1))=n^2+n ?
The answer to 36(n/(n+1))=n^2+n is n=0,n=5,n=-7
Solve for n: 36(n/(n+1))=n^2+n
The solution is n=0,n=5,n=-7