What is the answer to -2/(x-3)= x/(x-6) ?

The answer to -2/(x-3)= x/(x-6) is x=4,x=-3

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-2/(x-3)= x/(x-6)

- \frac{2}{x - 3} = \frac{x}{x - 6}

x = 4, x = - 3

Solution steps

- \frac{2}{x - 3} = \frac{x}{x - 6}

Cross multiply

- 2 (x - 6) = (x - 3) x

Solve

- 2 (x - 6) = (x - 3) x : x = 4, x = - 3

x = 4, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 6

Combine undefined points with solutions:

x = 4, x = - 3

\frac{4}{m - 8} = \frac{8}{2}

\frac{3 x - 16}{x} = \frac{5}{3}

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

\frac{8 x ^{2} - 2 + 3 x}{2 x - 1} = 4 x

\frac{x - 2}{5} = \frac{3}{x}

What is the answer to -2/(x-3)= x/(x-6) ?
The answer to -2/(x-3)= x/(x-6) is x=4,x=-3
Solve for x: -2/(x-3)= x/(x-6)
The solution is x=4,x=-3