What is the answer to 6/m+2=(m+3)/(m-1) ?

The answer to 6/m+2=(m+3)/(m-1) is m=2,m=-3

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6/m+2=(m+3)/(m-1)

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

m = 2, m = - 3

Solution steps

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

Multiply by LCM

6 (m - 1) + 2 m (m - 1) = m (m + 3)

Solve

6 (m - 1) + 2 m (m - 1) = m (m + 3) : m = 2, m = - 3

m = 2, m = - 3

Verify Solutions

Find undefined (singularity) points:

m = 0, m = 1

Combine undefined points with solutions:

m = 2, m = - 3

x - \frac{3}{x - 9} = \frac{7}{x - 9}

\frac{x}{x - 2} + \frac{5}{x} = 4

\frac{x + 1}{x} = 4

\frac{x - 12}{x - 4} = \frac{3}{5}

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

What is the answer to 6/m+2=(m+3)/(m-1) ?
The answer to 6/m+2=(m+3)/(m-1) is m=2,m=-3
Solve for m: 6/m+2=(m+3)/(m-1)
The solution is m=2,m=-3