What is the answer to ((m^2-(m+1)(m+5)))/((2m+1))=10 ?

The answer to ((m^2-(m+1)(m+5)))/((2m+1))=10 is m=-15/26

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((m^2-(m+1)(m+5)))/((2m+1))=10

\frac{( m ^{2} - ( m + 1 ) ( m + 5 ) )}{( 2 m + 1 )} = 10

m = - \frac{15}{26}

Decimal Notation

m = - 0.57692 \dots

Solution steps

\frac{( m ^{2} - ( m + 1 ) ( m + 5 ) )}{( 2 m + 1 )} = 10

Simplify

\frac{m ^{2} - ( m + 1 ) ( m + 5 )}{2 m + 1} : \frac{- 6 m - 5}{2 m + 1}

\frac{- 6 m - 5}{2 m + 1} = 10

Multiply both sides by

2 m + 1

- 6 m - 5 = 10 (2 m + 1)

Expand

10 (2 m + 1) : 20 m + 10

- 6 m - 5 = 20 m + 10

Move

5

to the right side

- 6 m = 20 m + 15

Move

20 m

to the left side

- 26 m = 15

Divide both sides by

- 26

m = - \frac{15}{26}

Verify Solutions

Find undefined (singularity) points:

m = - \frac{1}{2}

Combine undefined points with solutions:

m = - \frac{15}{26}

\frac{x ^{4} + 9}{6 x ^{2}} = \frac{5}{3}

\frac{n}{s} = 60

\frac{x ^{2}}{x} = 6

\frac{x + 1}{x} = \frac{31}{3}

4 (\frac{x ^{2} + 1}{( x ^{2} )}) - 8 (\frac{x + 1}{x}) + 3 = 0

What is the answer to ((m^2-(m+1)(m+5)))/((2m+1))=10 ?
The answer to ((m^2-(m+1)(m+5)))/((2m+1))=10 is m=-15/26
Solve for m: ((m^2-(m+1)(m+5)))/((2m+1))=10
The solution is m=-15/26