What is the answer to ((-28)^{-1})/x =(4)^{-1} ?

The answer to ((-28)^{-1})/x =(4)^{-1} is x=-1/7

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((-28)^{-1})/x =(4)^{-1}

\frac{( - 28 ) ^{- 1}}{x} = (4)^{- 1}

x = - \frac{1}{7}

Decimal Notation

x = - 0.14285 \dots

Solution steps

\frac{( - 28 ) ^{- 1}}{x} = (4)^{- 1}

Refine

- \frac{1}{28 x} = \frac{1}{4}

Cross multiply

- 4 = 28 x

Switch sides

28 x = - 4

Divide both sides by

28

x = - \frac{1}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{7}

\frac{7}{a} = 2

\frac{( 3 a )}{( 1 + \frac{1}{( 1 + \frac{1}{( 1 - a )} )} )} = 2

x + x^{- 1} = 2

\frac{x ^{3} + 12 x}{6 x ^{2} + 8} = \frac{35}{19}

x, \frac{4}{x} - \frac{5}{y} = x + \frac{y}{x} y + \frac{3}{10}

What is the answer to ((-28)^{-1})/x =(4)^{-1} ?
The answer to ((-28)^{-1})/x =(4)^{-1} is x=-1/7
Solve for x: ((-28)^{-1})/x =(4)^{-1}
The solution is x=-1/7