What is the answer to 1/m =(m-34)/(2m^2) ?

The answer to 1/m =(m-34)/(2m^2) is m=-34

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1/m =(m-34)/(2m^2)

\frac{1}{m} = \frac{m - 34}{2 m ^{2}}

m = - 34

Solution steps

\frac{1}{m} = \frac{m - 34}{2 m ^{2}}

Cross multiply

2 m^{2} = m (m - 34)

Solve

2 m^{2} = m (m - 34) : m = 0, m = - 34

m = 0, m = - 34

Verify Solutions

Find undefined (singularity) points:

m = 0

Since the equation is undefined for:

0

m = - 34

2 - \frac{6}{x ^{2}} = 0

\frac{1}{x} - \frac{1}{x + 3} = \frac{3}{10}

\frac{3}{x} = \frac{8}{x - 2}

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

R, \frac{n}{R} = \frac{b}{a}

What is the answer to 1/m =(m-34)/(2m^2) ?
The answer to 1/m =(m-34)/(2m^2) is m=-34
Solve for m: 1/m =(m-34)/(2m^2)
The solution is m=-34