What is the answer to 3= c/(1+c) ?

The answer to 3= c/(1+c) is c=-3/2

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3= c/(1+c)

3 = \frac{c}{1 + c}

c = - \frac{3}{2}

Decimal Notation

c = - 1.5

Solution steps

3 = \frac{c}{1 + c}

Multiply both sides by

1 + c

3 (1 + c) = c

Expand

3 (1 + c) : 3 + 3 c

3 + 3 c = c

Move

3

to the right side

3 c = c - 3

Move

c

to the left side

2 c = - 3

Divide both sides by

2

c = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

c = - 1

Combine undefined points with solutions:

c = - \frac{3}{2}

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

\frac{67 - x}{x} = 6 + \frac{4}{x}

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

x + \frac{12}{x} = - 3

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