What is the answer to (x(x-4))/(2(x-2)^2)=0 ?

The answer to (x(x-4))/(2(x-2)^2)=0 is x=0,x=4

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(x(x-4))/(2(x-2)^2)=0

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

x = 0, x = 4

Solution steps

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

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

x (x - 4) = 0

Solve

x (x - 4) = 0 : x = 0, x = 4

x = 0, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 0, x = 4

\frac{x + 273.15}{x} = 273.15

\frac{a - 7}{1 - a} = - \frac{5}{9}

\frac{3 - x}{4 x - 3} = \frac{1}{5}

5 = \frac{2}{3 ( 8 x - 6 )}

\frac{7}{2 x} = 3

What is the answer to (x(x-4))/(2(x-2)^2)=0 ?
The answer to (x(x-4))/(2(x-2)^2)=0 is x=0,x=4
Solve for x: (x(x-4))/(2(x-2)^2)=0
The solution is x=0,x=4