What is the answer to 0.2=(p-10.1)/p ?

The answer to 0.2=(p-10.1)/p is p= 101/8

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0.2=(p-10.1)/p

0.2 = \frac{p - 10.1}{p}

p = \frac{101}{8}

Decimal Notation

p = 12.625

Solution steps

0.2 = \frac{p - 10.1}{p}

Multiply both sides by

p

0.2 p = p - 10.1

Multiply both sides by

10

2 p = 10 p - 101

Move

10 p

to the left side

- 8 p = - 101

Divide both sides by

- 8

p = \frac{101}{8}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = \frac{101}{8}

\frac{2800 - x}{x} \cdot 100 = 25

\frac{3}{x - 6} - \frac{3}{x - 5} = 1

x, g = - 3 y - \frac{8}{3 x}

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

\frac{2}{x} + 4 = 0