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Popular >

6-13b-5b^2<0

Solution

6 - 13 b - 5 b^{2} < 0

Solution

b < - 3 or b > \frac{2}{5}

+2

Interval Notation

(- \infty, - 3) \cup (\frac{2}{5}, \infty)

Decimal Notation

b < - 3 or b > 0.4

Solution steps

6 - 13 b - 5 b^{2} < 0

Factor

6 - 13 b - 5 b^{2} : - (5 b - 2) (b + 3)

- (5 b - 2) (b + 3) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- (5 b - 2) (b + 3)) (- 1) > 0 \cdot (- 1)

Simplify

(5 b - 2) (b + 3) > 0

Identify the intervals

b < - 3 or b > \frac{2}{5}

Popular Examples

∣ 8 - 3 x ∣ - 3 = - 2

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(3 i)^{2}

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2 a < 4

factor-5sqrt(2)+5 factor

- 52 + 5

Frequently Asked Questions (FAQ)

What is 6-13b-5b^2<0 ?
The solution to 6-13b-5b^2<0 is b<-3\lor b> 2/5