What is -x(x-5)(x+4)>0 ?

The solution to -x(x-5)(x+4)>0 is x<-4\lor 0<x<5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-x(x-5)(x+4)>0

- x (x - 5) (x + 4) > 0

x < - 4 or 0 < x < 5

Solution steps

- x (x - 5) (x + 4) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (x - 5) (x + 4)) (- 1) < 0 \cdot (- 1)

Simplify

x (x - 5) (x + 4) < 0

Identify the intervals

x < - 4 or 0 < x < 5

b^{2} - b - 12

v^{2} - 8 v + 15 = 0

6 x = 2 x + 24

∣ x ∣ = x + 5

- \frac{2 x}{( x + 1 ) ^{2} ( x - 1 ) ^{2}} < 0