What is the answer to ((x^2+8x+16))/((x+4))=(-1)/((x+2)) ?

The answer to ((x^2+8x+16))/((x+4))=(-1)/((x+2)) is x=-3

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((x^2+8x+16))/((x+4))=(-1)/((x+2))

\frac{( x ^{2} + 8 x + 16 )}{( x + 4 )} = \frac{- 1}{( x + 2 )}

x = - 3

Solution steps

\frac{( x ^{2} + 8 x + 16 )}{( x + 4 )} = \frac{- 1}{( x + 2 )}

Simplify

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

Multiply both sides by

x + 2

x (x + 2) + 4 (x + 2) = - 1

Solve

x (x + 2) + 4 (x + 2) = - 1 : x = - 3

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = - 2

Combine undefined points with solutions:

x = - 3

\frac{x + 1}{x} = \frac{c + 1}{c}

g = \frac{10 m}{s ^{215} m}

\frac{n - 1}{n ^{2}} = \frac{1}{n} + \frac{5 n + 30}{n ^{2}}

0.562 = \frac{a}{( a + 42 )}

\frac{lo g _{10} ( 1 )}{2 x} = 4 x^{2}

What is the answer to ((x^2+8x+16))/((x+4))=(-1)/((x+2)) ?
The answer to ((x^2+8x+16))/((x+4))=(-1)/((x+2)) is x=-3
Solve for x: ((x^2+8x+16))/((x+4))=(-1)/((x+2))
The solution is x=-3