What is the answer to 1/5 =-1/(1+c) ?

The answer to 1/5 =-1/(1+c) is c=-6

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1/5 =-1/(1+c)

\frac{1}{5} = - \frac{1}{1 + c}

c = - 6

Solution steps

\frac{1}{5} = - \frac{1}{1 + c}

Cross multiply

1 + c = - 5

Move

1

to the right side

c = - 6

Verify Solutions

Find undefined (singularity) points:

c = - 1

Combine undefined points with solutions:

c = - 6

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

11 = \frac{5.5}{x}

\frac{20}{5 x} = 2

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

\frac{1}{x + 4} = 0