What is factor 6a^2+a-12 ?

The solution to factor 6a^2+a-12 is (3a-4)(2a+3)

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factor 6a^2+a-12

factor

6 a^{2} + a - 12

(3 a - 4) (2 a + 3)

Solution steps

6 a^{2} + a - 12

Break the expression into groups

= (6 a^{2} - 8 a) + (9 a - 12)

Factor out

2 a

from

6 a^{2} - 8 a : 2 a (3 a - 4)

Factor out

3

from

9 a - 12 : 3 (3 a - 4)

= 2 a (3 a - 4) + 3 (3 a - 4)

Factor out common term

3 a - 4

= (3 a - 4) (2 a + 3)

3 y + 6 = 2 + 2 y

∣ 2 x - 10 ∣ \leq 2 x

x^{2} + 7 x \leq - 12

279

∣ x - 6 ∣ < - 5