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Popular >

2x^2+5x<-3

Solution

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

Solution

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

+2

Interval Notation

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

Decimal Notation

- 1.5 < x < - 1

Solution steps

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

Rewrite in standard form

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

Identify the intervals

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

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(\frac{1}{4} x + 8) = (x + 2)

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\frac{x}{x + 2} - \frac{3}{2 x + 3}

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\frac{4}{n + 7} - \frac{7}{n - 2}

Frequently Asked Questions (FAQ)

What is 2x^2+5x<-3 ?
The solution to 2x^2+5x<-3 is -3/2 <x<-1