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Popular >

2x^2+5x+3<= 0

Solution

2 x^{2} + 5 x + 3 \leq 0

Solution

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

+2

Interval Notation

[- \frac{3}{2}, - 1]

Decimal Notation

- 1.5 \leq x \leq - 1

Solution steps

2 x^{2} + 5 x + 3 \leq 0

Factor

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

(x + 1) (2 x + 3) \leq 0

Identify the intervals

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

Popular Examples

n^{2} - 12 n + 27 = 0

2/3 s+12=(-2)/3 s+14

\frac{2}{3} s + 12 = \frac{- 2}{3} s + 14

simplify-7/8-1/2 simplify

- \frac{7}{8} - \frac{1}{2}

(7x-1)/6-(2x-1)/2 <= 1/2

\frac{7 x - 1}{6} - \frac{2 x - 1}{2} \leq \frac{1}{2}

simplify (12-7.35)/(4.11)simplify

\frac{12 - 7.35}{4.11}

Frequently Asked Questions (FAQ)

What is 2x^2+5x+3<= 0 ?
The solution to 2x^2+5x+3<= 0 is -3/2 <= x<=-1