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Popular >

-2x^2-8x-6<0

Solution

- 2 x^{2} - 8 x - 6 < 0

Solution

x < - 3 or x > - 1

+1

Interval Notation

(- \infty, - 3) \cup (- 1, \infty)

Solution steps

- 2 x^{2} - 8 x - 6 < 0

Rewrite in standard form

- x^{2} - 4 x - 3 < 0

Factor

- x^{2} - 4 x - 3 : - (x + 1) (x + 3)

- (x + 1) (x + 3) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 1) (x + 3)) (- 1) > 0 \cdot (- 1)

Simplify

(x + 1) (x + 3) > 0

Identify the intervals

x < - 3 or x > - 1

Popular Examples

4 x^{2} - 48 x + 144 = 0

4 (x + 1) = 2 (x + 5)

3 x < - 18.6

9 (9 - x) = 180

7^{2} + 1 0^{2} = x^{2}

Frequently Asked Questions (FAQ)

What is -2x^2-8x-6<0 ?
The solution to -2x^2-8x-6<0 is x<-3\lor x>-1