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Popular >

2a(a+6)>5-a(a+2)

Solution

2 a (a + 6) > 5 - a (a + 2)

Solution

a < - 5 or a > \frac{1}{3}

+2

Interval Notation

(- \infty, - 5) \cup (\frac{1}{3}, \infty)

Decimal Notation

a < - 5 or a > 0.33333 \dots

Solution steps

2 a (a + 6) > 5 - a (a + 2)

Rewrite in standard form

3 a^{2} + 14 a - 5 > 0

Factor

3 a^{2} + 14 a - 5 : (3 a - 1) (a + 5)

(3 a - 1) (a + 5) > 0

Identify the intervals

a < - 5 or a > \frac{1}{3}

Popular Examples

(- 3)^{2} + 4 (- 3)

factor ab^2-a factor

a b^{2} - a

∣ 3 x - 1 ∣ - 4 = 4

8x^2-(2x+3)(4x-5)=1

8 x^{2} - (2 x + 3) (4 x - 5) = 1

factor 3x^3+2x^2-7x+2 factor

3 x^{3} + 2 x^{2} - 7 x + 2

Frequently Asked Questions (FAQ)

What is 2a(a+6)>5-a(a+2) ?
The solution to 2a(a+6)>5-a(a+2) is a<-5\lor a> 1/3