What is factor 6a^2+5a-6 ?

The solution to factor 6a^2+5a-6 is (3a-2)(2a+3)

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factor 6a^2+5a-6

factor

6 a^{2} + 5 a - 6

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

Solution steps

6 a^{2} + 5 a - 6

Break the expression into groups

= (6 a^{2} - 4 a) + (9 a - 6)

Factor out

2 a

from

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

Factor out

3

from

9 a - 6 : 3 (3 a - 2)

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

Factor out common term

3 a - 2

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

\frac{x - 4}{2 x + 4} < 0

x + x - (x + x) = 2 x - x + 2

- a + 2 = 3

\frac{x}{4} = 6

4 x + 2 \leq - 14