What is the answer to 1/(m(m-1))=-4 ?

The answer to 1/(m(m-1))=-4 is m= 1/2

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1/(m(m-1))=-4

\frac{1}{m ( m - 1 )} = - 4

m = \frac{1}{2}

Decimal Notation

m = 0.5

Solution steps

\frac{1}{m ( m - 1 )} = - 4

Multiply both sides by

m (m - 1)

1 = - 4 m (m - 1)

Solve

1 = - 4 m (m - 1) : m = \frac{1}{2}

m = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

m = 0, m = 1

Combine undefined points with solutions:

m = \frac{1}{2}

\frac{1}{u - 5} = \frac{1}{3 u - 1}

\frac{3}{n} - 2 = 0

\frac{x}{4 x ^{2} + 12 x + 3} = 0

\frac{2}{t} = \frac{8}{12}

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