What is the answer to (90)/p-2=p-1 ?

The answer to (90)/p-2=p-1 is p=9,p=-10

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(90)/p-2=p-1

\frac{90}{p} - 2 = p - 1

p = 9, p = - 10

Solution steps

\frac{90}{p} - 2 = p - 1

Move

2

to the right side

\frac{90}{p} = p + 1

Multiply both sides by

p

90 = p^{2} + p

Solve

90 = p^{2} + p : p = 9, p = - 10

p = 9, p = - 10

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = 9, p = - 10

\frac{4}{x} - 5 = \frac{5}{2 x}

20 = \frac{40}{z}

\frac{x - 3}{x - 4} = 1

\frac{m}{x} - 18 = b

x - \frac{18}{x} = 3