What is the answer to (x+3)/(x^2-16)=0 ?

The answer to (x+3)/(x^2-16)=0 is x=-3

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(x+3)/(x^2-16)=0

\frac{x + 3}{x ^{2} - 16} = 0

x = - 3

Solution steps

\frac{x + 3}{x ^{2} - 16} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

x + 3 = 0

Move

3

to the right side

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - 4

Combine undefined points with solutions:

x = - 3

- \frac{18 x}{( x ^{2} - 9 ) ^{2}} = 0

\frac{1.5}{30} = \frac{2.4}{x}

a, \frac{a + b}{a} = b

\frac{3 x}{x + 2} = 7 - \frac{6}{x + 2}

3 x^{- 2} + 7 x^{- 1} + 2 = 0