What is the answer to 1/(x-1)-1= x/(x-1) ?

The answer to 1/(x-1)-1= x/(x-1) is No Solution

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1/(x-1)-1= x/(x-1)

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

No Solution

Solution steps

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

Multiply both sides by

x - 1

1 - (x - 1) = x

Expand

1 - (x - 1) : - x + 2

- x + 2 = x

Move

2

to the right side

- x = x - 2

Move

x

to the left side

- 2 x = - 2

Divide both sides by

- 2

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

No Solution

\frac{28}{x} = 0

0 = \frac{x ^{2} - 9 x + 14}{4 x}

f^{- 1} (3) = 1

x^{2} + \frac{1}{x ^{2}} = 7

4 = \frac{8.4}{x}

What is the answer to 1/(x-1)-1= x/(x-1) ?
The answer to 1/(x-1)-1= x/(x-1) is No Solution
Solve for x: 1/(x-1)-1= x/(x-1)
The solution is No Solution