What is the answer to (z-3)/((z-1)z-3)=0 ?

The answer to (z-3)/((z-1)z-3)=0 is z=3

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(z-3)/((z-1)z-3)=0

\frac{z - 3}{( z - 1 ) z - 3} = 0

z = 3

Solution steps

\frac{z - 3}{( z - 1 ) z - 3} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

z - 3 = 0

Move

3

to the right side

z = 3

Verify Solutions

Find undefined (singularity) points:

z = \frac{1 + 13}{2}, z = \frac{1 - 13}{2}

Combine undefined points with solutions:

z = 3

\frac{1}{x - 1} + \frac{x}{x + 2} = 4

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

\frac{1}{x} = 16 x

x = \frac{6 x - 8}{x}

\frac{t}{∣ t ∣} = 0

What is the answer to (z-3)/((z-1)z-3)=0 ?
The answer to (z-3)/((z-1)z-3)=0 is z=3
Solve for z: (z-3)/((z-1)z-3)=0
The solution is z=3