What is the answer to (x+6)/(x-6)=-4/x ?

The answer to (x+6)/(x-6)=-4/x is x=2,x=-12

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(x+6)/(x-6)=-4/x

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

x = 2, x = - 12

Solution steps

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

Cross multiply

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

Solve

(x + 6) x = - (x - 6) \cdot 4 : x = 2, x = - 12

x = 2, x = - 12

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 2, x = - 12

x^{- 4} = 81

ln (1 0^{5}) = - (\frac{1.2}{d})

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

\frac{( n + 1 ) !}{( n - 1 ) !} = 56

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

What is the answer to (x+6)/(x-6)=-4/x ?
The answer to (x+6)/(x-6)=-4/x is x=2,x=-12
Solve for x: (x+6)/(x-6)=-4/x
The solution is x=2,x=-12