What is the answer to p/((p-1))*((p-2))/p =-1 ?

The answer to p/((p-1))*((p-2))/p =-1 is p= 3/2

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p/((p-1))*((p-2))/p =-1

\frac{p}{( p - 1 )} \cdot \frac{( p - 2 )}{p} = - 1

p = \frac{3}{2}

Decimal Notation

p = 1.5

Solution steps

\frac{p}{( p - 1 )} \cdot \frac{( p - 2 )}{p} = - 1

Simplify

\frac{p}{p - 1} \cdot \frac{p - 2}{p} : \frac{p - 2}{p - 1}

\frac{p - 2}{p - 1} = - 1

Multiply both sides by

p - 1

p - 2 = - (p - 1)

Expand

- (p - 1) : - p + 1

p - 2 = - p + 1

Move

2

to the right side

p = - p + 3

Move

p

to the left side

2 p = 3

Divide both sides by

2

p = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

p = 1, p = 0

Combine undefined points with solutions:

p = \frac{3}{2}

e = \frac{( ∣ 5 x - 20 ∣ - ∣ 3 x - 20 ∣ )}{x}

\frac{x ^{2} + 1}{x ^{2} - ( x + \frac{1}{4} ) - 1} = 0

\frac{0.5}{600} = \frac{0.1}{t ^{2}}

x, \frac{1}{x} - \frac{1}{y} = \frac{1}{z}

\frac{166}{x} = \frac{1}{20}

What is the answer to p/((p-1))*((p-2))/p =-1 ?
The answer to p/((p-1))*((p-2))/p =-1 is p= 3/2
Solve for p: p/((p-1))*((p-2))/p =-1
The solution is p= 3/2