What is the answer to 1/(2(6-2f))=6 ?

The answer to 1/(2(6-2f))=6 is f= 71/24

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1/(2(6-2f))=6

\frac{1}{2 ( 6 - 2 f )} = 6

f = \frac{71}{24}

Decimal Notation

f = 2.95833 \dots

Solution steps

\frac{1}{2 ( 6 - 2 f )} = 6

Multiply both sides by

2 (6 - 2 f)

1 = 12 (6 - 2 f)

Switch sides

12 (6 - 2 f) = 1

Divide both sides by

12

6 - 2 f = \frac{1}{12}

Move

6

to the right side

- 2 f = - \frac{71}{12}

Divide both sides by

- 2

f = \frac{71}{24}

Verify Solutions

Find undefined (singularity) points:

f = 3

Combine undefined points with solutions:

f = \frac{71}{24}

t, a = \frac{v}{t}

\frac{1}{p - 1} = \frac{2}{p - 2}

\frac{5}{x} = \frac{3}{2}

x, \frac{3 + x}{5 - x} = 6 + y

\frac{9}{x - 3} = \frac{3 x}{x - 3}