What is -14x-45>x^2 ?

The solution to -14x-45>x^2 is -9<x<-5

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-14x-45>x^2

- 14 x - 45 > x^{2}

- 9 < x < - 5

Solution steps

- 14 x - 45 > x^{2}

Rewrite in standard form

- 14 x - 45 - x^{2} > 0

Factor

- 14 x - 45 - x^{2} : - (x + 5) (x + 9)

- (x + 5) (x + 9) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 5) (x + 9)) (- 1) < 0 \cdot (- 1)

Simplify

(x + 5) (x + 9) < 0

Identify the intervals

- 9 < x < - 5

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