What is the answer to 4/(|p|)+12=14 ?

The answer to 4/(|p|)+12=14 is p=-2,p=2

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4/(|p|)+12=14

\frac{4}{∣ p ∣} + 12 = 14

p = - 2, p = 2

Solution steps

\frac{4}{∣ p ∣} + 12 = 14

Move

12

to the right side

\frac{4}{∣ p ∣} = 2

Multiply both sides by

∣ p ∣

4 = 2 ∣ p ∣

Solve

4 = 2 ∣ p ∣ : p = - 2 or p = 2

p = - 2, p = 2

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = - 2, p = 2

\frac{1}{x - 2} + \frac{4}{5} = 3

\frac{2}{5} = \frac{2 x - 6}{x - 3}

x - \frac{1}{x} = 0

r, d = \frac{r}{1 + r t}

0 = \frac{3}{x + 5} - \frac{16}{x} - 1