Solve \(\frac{x}{(x 1)} \frac{3}{(x-1)}=1\)

Evaluate

\frac{x}{( x \times 1 )} \times \frac{3}{( x - 1 )} = 1

Find the domain

More Steps

\frac{x}{( x \times 1 )} \times \frac{3}{( x - 1 )} = 1, x \in (- \infty, 0) \cup (0, 1) \cup (1, + \infty)

Remove the parentheses

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

Simplify

More Steps

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

Cross multiply

3 = x - 1

Swap the sides of the equation

x - 1 = 3

Move the constant to the right side

x = 3 + 1

Add the numbers

x = 4

Check if the solution is in the defined range

x = 4, x \in (- \infty, 0) \cup (0, 1) \cup (1, + \infty)

Solution

x = 4

Solve the equation