What is the answer to (55)/(x+6)=x ?

The answer to (55)/(x+6)=x is x=5,x=-11

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(55)/(x+6)=x

\frac{55}{x + 6} = x

x = 5, x = - 11

Solution steps

\frac{55}{x + 6} = x

Multiply both sides by

x + 6

55 = x (x + 6)

Solve

55 = x (x + 6) : x = 5, x = - 11

x = 5, x = - 11

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = 5, x = - 11

\frac{11}{x + 3} = 10

\frac{5 x - 3}{x + 4} - \frac{8}{5 x} = 5

- \frac{1}{x ^{2}} + \frac{1}{x} = 0

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

x + \frac{9}{2 x} = \frac{27}{4}