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Popular >

(2x+8)/(x^2+8x+7)>0

Solution

\frac{2 x + 8}{x ^{2} + 8 x + 7} > 0

Solution

- 7 < x < - 4 or x > - 1

+1

Interval Notation

(- 7, - 4) \cup (- 1, \infty)

Solution steps

\frac{2 x + 8}{x ^{2} + 8 x + 7} > 0

Factor

\frac{2 x + 8}{x ^{2} + 8 x + 7} : \frac{2 ( x + 4 )}{( x + 1 ) ( x + 7 )}

\frac{2 ( x + 4 )}{( x + 1 ) ( x + 7 )} > 0

Divide both sides by

2

\frac{\frac{2 ( x + 4 )}{( x + 1 ) ( x + 7 )}}{2} > \frac{0}{2}

Simplify

\frac{x + 4}{( x + 1 ) ( x + 7 )} > 0

Identify the intervals

- 7 < x < - 4 or x > - 1

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Frequently Asked Questions (FAQ)

What is (2x+8)/(x^2+8x+7)>0 ?
The solution to (2x+8)/(x^2+8x+7)>0 is -7<x<-4\lor x>-1