What is factor 6x^2+25x+14 ?

The solution to factor 6x^2+25x+14 is (3x+2)(2x+7)

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factor 6x^2+25x+14

factor

6 x^{2} + 25 x + 14

(3 x + 2) (2 x + 7)

Solution steps

6 x^{2} + 25 x + 14

Break the expression into groups

= (6 x^{2} + 4 x) + (21 x + 14)

Factor out

2 x

from

6 x^{2} + 4 x : 2 x (3 x + 2)

Factor out

7

from

21 x + 14 : 7 (3 x + 2)

= 2 x (3 x + 2) + 7 (3 x + 2)

Factor out common term

3 x + 2

= (3 x + 2) (2 x + 7)

- \frac{9}{2} - 1

- x y - x y

9 h^{2} + 8 h^{2} - 2 h^{2}