What is the answer to (1/x)=(4/(3x))+1 ?

The answer to (1/x)=(4/(3x))+1 is x=-1/3

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(1/x)=(4/(3x))+1

(\frac{1}{x}) = (\frac{4}{3 x}) + 1

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

(\frac{1}{x}) = (\frac{4}{3 x}) + 1

Multiply by LCM

3 = 4 + 3 x

Switch sides

4 + 3 x = 3

Move

4

to the right side

3 x = - 1

Divide both sides by

3

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{3}

441 x^{- 4} - 58 x^{- 2} + 1 = 0

\frac{1 + y ^{3} + 2 y ^{2}}{y ^{2}} = 0

0.876 = \frac{230}{v}

t, P = \frac{t}{t}

2 + \frac{4}{y} = \frac{7}{12 y}

What is the answer to (1/x)=(4/(3x))+1 ?
The answer to (1/x)=(4/(3x))+1 is x=-1/3
Solve for x: (1/x)=(4/(3x))+1
The solution is x=-1/3