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

The answer to x-1/(x+4)=-4 is x=-3,x=-5

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

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

x = - 3, x = - 5

Solution steps

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

Multiply both sides by

x + 4

x (x + 4) - 1 = - 4 (x + 4)

Solve

x (x + 4) - 1 = - 4 (x + 4) : x = - 3, x = - 5

x = - 3, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 3, x = - 5

\frac{- 4 y - 2}{y ^{2}} = y + 2

\frac{4}{9} = \frac{8}{x}

\frac{8}{5 x - 4} = \frac{5}{3 x + 1}

\frac{x !}{( x - 2 ) !} = 6

\frac{10}{x} = \frac{20}{x - 2}