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Popular >

-2x^2+x+3<0

Solution

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

Solution

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

+2

Interval Notation

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

Decimal Notation

x < - 1 or x > 1.5

Solution steps

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

Factor

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

Popular Examples

3 x^{2} + 5 x - 22 = 0

8 (m - 3) = 4 (m - 1)

factor x^2+16x+28 factor

x^{2} + 16 x + 28

n^{2} + 5 n - 50 = 0

3 x - 12 > 24

Frequently Asked Questions (FAQ)

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