What is the answer to |(1-2x)/x |=4 ?

The answer to |(1-2x)/x |=4 is x=-1/2 ,x= 1/6

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|(1-2x)/x |=4

\frac{1 - 2 x}{x} = 4

x = - \frac{1}{2}, x = \frac{1}{6}

Decimal Notation

x = - 0.5, x = 0.16666 \dots

Solution steps

\frac{1 - 2 x}{x} = 4

Simplify

\frac{1 - 2 x}{x} : \frac{∣ 1 - 2 x ∣}{∣ x ∣}

\frac{∣ 1 - 2 x ∣}{∣ x ∣} = 4

Multiply both sides by

∣ x ∣

∣ 1 - 2 x ∣ = 4 ∣ x ∣

Solve

∣ 1 - 2 x ∣ = 4 ∣ x ∣ : x = - \frac{1}{2} or x = \frac{1}{6}

x = - \frac{1}{2}, x = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{2}, x = \frac{1}{6}

\frac{9}{x} = 3

\frac{1}{x + 3} + 4 = \frac{21}{x + 3}

135 = \frac{180 ( n - 2 )}{n}

m, a = \frac{f}{m}

3 x^{2} - 6 x - 4 = - \frac{2}{x + 3} + 1

What is the answer to |(1-2x)/x |=4 ?
The answer to |(1-2x)/x |=4 is x=-1/2 ,x= 1/6
Solve for x: |(1-2x)/x |=4
The solution is x=-1/2 ,x= 1/6