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

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

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-4= 1/(1/4+c)

- 4 = \frac{1}{\frac{1}{4} + c}

c = - \frac{1}{2}

Decimal Notation

c = - 0.5

Solution steps

- 4 = \frac{1}{\frac{1}{4} + c}

Simplify

\frac{1}{\frac{1}{4} + c} : \frac{4}{1 + 4 c}

- 4 = \frac{4}{1 + 4 c}

Multiply both sides by

1 + 4 c

- 4 (1 + 4 c) = 4

Divide both sides by

- 4

1 + 4 c = - 1

Move

1

to the right side

4 c = - 2

Divide both sides by

4

c = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

c = - \frac{1}{4}

Combine undefined points with solutions:

c = - \frac{1}{2}

\frac{x + 8}{x - 8} = 16

4 = \frac{7.2}{x}

m, a = \frac{F}{m}

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

\frac{c ^{2} + c}{c - 1} = 6