What is the answer to 4+(4-4x)/(5x)=0 ?

The answer to 4+(4-4x)/(5x)=0 is x=-1/4

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4+(4-4x)/(5x)=0

4 + \frac{4 - 4 x}{5 x} = 0

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

4 + \frac{4 - 4 x}{5 x} = 0

Multiply both sides by

5 x

16 x + 4 = 0

Move

4

to the right side

16 x = - 4

Divide both sides by

16

x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{4}

\frac{17}{x} = \frac{16}{38}

\frac{- 7}{12 x - 8} + 2 = 9

(\frac{5 x - 3}{x + 1}) = 0

\frac{5}{9} = \frac{6}{x}

2 = \frac{x + 4}{x - 12}