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Popular >

-x^2-4x-4<0

Solution

- x^{2} - 4 x - 4 < 0

Solution

x < - 2 or x > - 2

+1

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

- x^{2} - 4 x - 4 < 0

Factor

- x^{2} - 4 x - 4 : - (x + 2)^{2}

- (x + 2)^{2} < 0

Multiply both sides by

- 1

(x + 2)^{2} > 0

For

u^{n} > 0

, if

n

is even then

u < 0

or

u > 0

x + 2 < 0 or x + 2 > 0

x + 2 < 0 : x < - 2

x + 2 > 0 : x > - 2

Combine the intervals

x < - 2 or x > - 2

Popular Examples

(a + 7) (a - 7) > 0

3(x-1)-2(x-3)=7

3 (x - 1) - 2 (x - 3) = 7

6 x^{2} + 15 = - 9

simplify (((4x^2y^3)^0)/(-3x^{-1)y^2})^3 simplify

(\frac{( 4 x ^{2} y ^{3} ) ^{0}}{- 3 x ^{- 1} y ^{2}})^{3}

simplify 9/20+3/4 simplify

\frac{9}{20} + \frac{3}{4}

Frequently Asked Questions (FAQ)

What is -x^2-4x-4<0 ?
The solution to -x^2-4x-4<0 is x<-2\lor x>-2