What is factor 14x^2+33x+18 ?

The solution to factor 14x^2+33x+18 is (7x+6)(2x+3)

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factor 14x^2+33x+18

factor

14 x^{2} + 33 x + 18

(7 x + 6) (2 x + 3)

Solution steps

14 x^{2} + 33 x + 18

Break the expression into groups

= (14 x^{2} + 12 x) + (21 x + 18)

Factor out

2 x

from

14 x^{2} + 12 x : 2 x (7 x + 6)

Factor out

3

from

21 x + 18 : 3 (7 x + 6)

= 2 x (7 x + 6) + 3 (7 x + 6)

Factor out common term

7 x + 6

= (7 x + 6) (2 x + 3)

3 (x + 4) - 2 (2 + 2 x) = 3 (x - 6 x + 12 + 2)

3 (h - 4) + 2 h - 5 + 2 (h + 1) = 9

2 x^{2} - 11 x + 12 = 0

2 x^{2} + 7 x + 1 = 0

\frac{1}{2} x - 5 = \frac{3}{10} x

What is factor 14x^2+33x+18 ?
The solution to factor 14x^2+33x+18 is (7x+6)(2x+3)