What is the answer to 5=(x^2-4)/(x+16) ?

The answer to 5=(x^2-4)/(x+16) is x=12,x=-7

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5=(x^2-4)/(x+16)

5 = \frac{x ^{2} - 4}{x + 16}

x = 12, x = - 7

Solution steps

5 = \frac{x ^{2} - 4}{x + 16}

Multiply both sides by

x + 16

5 (x + 16) = x^{2} - 4

Solve

5 (x + 16) = x^{2} - 4 : x = 12, x = - 7

x = 12, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = - 16

Combine undefined points with solutions:

x = 12, x = - 7

\frac{8}{5 x - 4} = \frac{6}{x + 5}

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

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

x^{- 1} = - \frac{1}{3}

\frac{56}{x} = \frac{8}{7}

What is the answer to 5=(x^2-4)/(x+16) ?
The answer to 5=(x^2-4)/(x+16) is x=12,x=-7
Solve for x: 5=(x^2-4)/(x+16)
The solution is x=12,x=-7