What is the answer to 7/(x-1)-4/x = x/(x-1) ?

The answer to 7/(x-1)-4/x = x/(x-1) is x=4,x=-1

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7/(x-1)-4/x = x/(x-1)

\frac{7}{x - 1} - \frac{4}{x} = \frac{x}{x - 1}

x = 4, x = - 1

Solution steps

\frac{7}{x - 1} - \frac{4}{x} = \frac{x}{x - 1}

Multiply by LCM

7 x - 4 (x - 1) = x^{2}

Solve

7 x - 4 (x - 1) = x^{2} : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = 4, x = - 1

\frac{6}{2 x - 1} = 5

\frac{x - 1}{7 x + 6} = \frac{2}{x + 2}

- \frac{2}{x - 1} + 9 x = - \frac{2 x}{x - 1}

6.16 = \frac{50 x}{x ^{2} + 3 x + 6}

y, \frac{1}{y} = x

What is the answer to 7/(x-1)-4/x = x/(x-1) ?
The answer to 7/(x-1)-4/x = x/(x-1) is x=4,x=-1
Solve for x: 7/(x-1)-4/x = x/(x-1)
The solution is x=4,x=-1