What is the answer to (x+1}{x-6}=\frac{-4)/x ?

The answer to (x+1}{x-6}=\frac{-4)/x is x=3,x=-8

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(x+1}{x-6}=\frac{-4)/x

\frac{x + 1}{x - 6} = \frac{- 4}{x}

x = 3, x = - 8

Solution steps

\frac{x + 1}{x - 6} = \frac{- 4}{x}

Cross multiply

(x + 1) x = - (x - 6) \cdot 4

Solve

(x + 1) x = - (x - 6) \cdot 4 : x = 3, x = - 8

x = 3, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 3, x = - 8

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

y, \frac{3}{z - y} = d

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

\frac{x}{x + 3} - \frac{4}{x} = 4

\frac{12}{x} + x = 8

What is the answer to (x+1}{x-6}=\frac{-4)/x ?
The answer to (x+1}{x-6}=\frac{-4)/x is x=3,x=-8
Solve for x: (x+1}{x-6}=\frac{-4)/x
The solution is x=3,x=-8