What is the answer to m/(m+5)=(50)/(m^2-25)+6 ?

The answer to m/(m+5)=(50)/(m^2-25)+6 is m=4

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m/(m+5)=(50)/(m^2-25)+6

\frac{m}{m + 5} = \frac{50}{m ^{2} - 25} + 6

m = 4

Solution steps

\frac{m}{m + 5} = \frac{50}{m ^{2} - 25} + 6

Multiply by LCM

m (m - 5) = 50 + 6 (m + 5) (m - 5)

Solve

m (m - 5) = 50 + 6 (m + 5) (m - 5) : m = - 5, m = 4

m = - 5, m = 4

Verify Solutions

Find undefined (singularity) points:

m = - 5, m = 5

Since the equation is undefined for:

- 5

m = 4

\frac{2}{x - 6} + 7 = \frac{8 x}{x - 6}

\frac{1}{x ^{2}} + \frac{1}{x} - 12 = 0

\frac{10 x - 1 + 6}{12 x} = 10

\frac{1}{x - 4} + 2 = \frac{4}{x ^{2} - 4 x}

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

What is the answer to m/(m+5)=(50)/(m^2-25)+6 ?
The answer to m/(m+5)=(50)/(m^2-25)+6 is m=4
Solve for m: m/(m+5)=(50)/(m^2-25)+6
The solution is m=4