What is the answer to (((2pi)/x))/(4)=3 ?

The answer to (((2pi)/x))/(4)=3 is x= pi/6

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(((2pi)/x))/(4)=3

\frac{( \frac{2 π}{x} )}{4} = 3

x = \frac{π}{6}

Decimal Notation

x = 0.52359 \dots

Solution steps

\frac{( \frac{2 π}{x} )}{4} = 3

Simplify

\frac{\frac{2 π}{x}}{4} : \frac{π}{2 x}

\frac{π}{2 x} = 3

Multiply both sides by

x

\frac{π}{2} = 3 x

Switch sides

3 x = \frac{π}{2}

Divide both sides by

3

x = \frac{π}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{π}{6}

\frac{40}{y} = \frac{8}{5}

\frac{2 ^{2} - 8 x}{1 - x} = 5

x^{- 2} - 6 x^{- 1} + 5 = 0

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

\frac{( x - 2 )}{5} = \frac{3}{x}

What is the answer to (((2pi)/x))/(4)=3 ?
The answer to (((2pi)/x))/(4)=3 is x= pi/6