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Popular >

x(2x+3)>= 5

Solution

x (2 x + 3) \geq 5

Solution

x \leq - \frac{5}{2} or x \geq 1

+2

Interval Notation

(- \infty, - \frac{5}{2}] \cup [1, \infty)

Decimal Notation

x \leq - 2.5 or x \geq 1

Solution steps

x (2 x + 3) \geq 5

Rewrite in standard form

2 x^{2} + 3 x - 5 \geq 0

Factor

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

(x - 1) (2 x + 5) \geq 0

Identify the intervals

x \leq - \frac{5}{2} or x \geq 1

Popular Examples

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Frequently Asked Questions (FAQ)

What is x(2x+3)>= 5 ?
The solution to x(2x+3)>= 5 is x<=-5/2 \lor x>= 1