What is the answer to ((-4/3)^{-2})/x =(8/15)^{-1} ?

The answer to ((-4/3)^{-2})/x =(8/15)^{-1} is x= 3/10

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((-4/3)^{-2})/x =(8/15)^{-1}

\frac{( - \frac{4}{3} ) ^{- 2}}{x} = (\frac{8}{15})^{- 1}

x = \frac{3}{10}

Decimal Notation

x = 0.3

Solution steps

\frac{( - \frac{4}{3} ) ^{- 2}}{x} = (\frac{8}{15})^{- 1}

Refine

\frac{9}{16 x} = \frac{15}{8}

Cross multiply

72 = 240 x

Switch sides

240 x = 72

Divide both sides by

240

x = \frac{3}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{10}

x + \frac{3}{x} - 2 - 1 - \frac{x}{x} = \frac{41}{4}

\frac{3}{4 \cdot x ^{2} - 8 x + 3} = 0

2 (\frac{x ^{2} + 1}{x ^{2}}) + 5 (\frac{x + 1}{x}) + 1 = 0

\frac{( 2 x - 1 )}{3 + x} = \frac{( 2 x + 6 )}{5}

\frac{ln ( e ) ( \frac{1}{2} ) + 1}{y} = 1

What is the answer to ((-4/3)^{-2})/x =(8/15)^{-1} ?
The answer to ((-4/3)^{-2})/x =(8/15)^{-1} is x= 3/10
Solve for x: ((-4/3)^{-2})/x =(8/15)^{-1}
The solution is x= 3/10