What is the answer to x= x/(x-3) ?

The answer to x= x/(x-3) is x=4,x=0

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x= x/(x-3)

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

x = 4, x = 0

Solution steps

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

Multiply both sides by

x - 3

x (x - 3) = x

Solve

x (x - 3) = x : x = 4, x = 0

x = 4, x = 0

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 4, x = 0

\frac{3 x - 2}{2 x - 3} = \frac{7}{3}

f^{- 1} (- 8) = - 4, f (- 4)

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

r, 0 = \frac{k q}{r ^{2}}

\frac{x ^{2}}{x - 6} + 3 = 0