What is the answer to x+6/x =-5 ?

The answer to x+6/x =-5 is x=-2,x=-3

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x+6/x =-5

x + \frac{6}{x} = - 5

x = - 2, x = - 3

Solution steps

x + \frac{6}{x} = - 5

Multiply both sides by

x

x^{2} + 6 = - 5 x

Solve

x^{2} + 6 = - 5 x : x = - 2, x = - 3

x = - 2, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2, x = - 3

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

- \frac{7}{( x - 4 ) ^{2}} = 0

7 x + \frac{x}{x - 9} = \frac{9}{x - 9}

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

y, y + \frac{1}{x - 2} = 15