What is the answer to | 5/x |=12 ?

The answer to | 5/x |=12 is x=-5/12 ,x= 5/12

Solve for x: | 5/x |=12

The solution is x=-5/12 ,x= 5/12

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\frac{5}{x} = 12

x = - \frac{5}{12}, x = \frac{5}{12}

Decimal Notation

x = - 0.41666 \dots, x = 0.41666 \dots

Solution steps

\frac{5}{x} = 12

Simplify

\frac{5}{x} : \frac{5}{∣ x ∣}

\frac{5}{∣ x ∣} = 12

Multiply both sides by

∣ x ∣

5 = 12 ∣ x ∣

Solve

5 = 12 ∣ x ∣ : x = - \frac{5}{12} or x = \frac{5}{12}

x = - \frac{5}{12}, x = \frac{5}{12}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{5}{12}, x = \frac{5}{12}

\frac{15}{x} - 4 = \frac{2}{x}

\frac{5}{x - 7} = \frac{- 11}{2}

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

q, v = \frac{q h}{q + h}

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