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Popular >

-2x^2-5x-3<0

Solution

- 2 x^{2} - 5 x - 3 < 0

Solution

x < - \frac{3}{2} or x > - 1

+2

Interval Notation

(- \infty, - \frac{3}{2}) \cup (- 1, \infty)

Decimal Notation

x < - 1.5 or x > - 1

Solution steps

- 2 x^{2} - 5 x - 3 < 0

Factor

- 2 x^{2} - 5 x - 3 : - (x + 1) (2 x + 3)

- (x + 1) (2 x + 3) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (x + 1) (2 x + 3)) (- 1) > 0 \cdot (- 1)

Simplify

(x + 1) (2 x + 3) > 0

Identify the intervals

x < - \frac{3}{2} or x > - 1

Popular Examples

longmult 1.5*4 long multiplication

1.5 \cdot 4

factor v^3-125 factor

v^{3} - 125

4 - 3 x = 100

14 = \frac{9}{5} C + 32

25 r^{2} + 60 r + 36 = 0

Frequently Asked Questions (FAQ)

What is -2x^2-5x-3<0 ?
The solution to -2x^2-5x-3<0 is x<-3/2 \lor x>-1