What is the answer to (6/(3c))=(2/3) ?

The answer to (6/(3c))=(2/3) is c=3

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(6/(3c))=(2/3)

(\frac{6}{3 c}) = (\frac{2}{3})

c = 3

Solution steps

(\frac{6}{3 c}) = (\frac{2}{3})

Simplify

\frac{6}{3 c} : \frac{2}{c}

\frac{2}{c} = (\frac{2}{3})

Multiply both sides by

c

2 = \frac{2}{3} c

Switch sides

\frac{2}{3} c = 2

Multiply both sides by

3

2 c = 6

Divide both sides by

2

c = 3

Verify Solutions

Find undefined (singularity) points:

c = 0

Combine undefined points with solutions:

c = 3

0 = 2 x - 16 x^{- 2}

9 = \frac{x + 4}{x + 12}

\frac{1440}{x} = 15

\frac{8}{x} + 22 = \frac{2}{3 x}

\frac{80}{60} = \frac{3.57}{n}