What is factor 15m^2+19m+6 ?

The solution to factor 15m^2+19m+6 is (5m+3)(3m+2)

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factor 15m^2+19m+6

factor

15 m^{2} + 19 m + 6

(5 m + 3) (3 m + 2)

Solution steps

15 m^{2} + 19 m + 6

Break the expression into groups

= (15 m^{2} + 9 m) + (10 m + 6)

Factor out

3 m

from

15 m^{2} + 9 m : 3 m (5 m + 3)

Factor out

2

from

10 m + 6 : 2 (5 m + 3)

= 3 m (5 m + 3) + 2 (5 m + 3)

Factor out common term

5 m + 3

= (5 m + 3) (3 m + 2)

4 x^{2} + 3 x - 10 = 0

4 y^{2} x^{2} + 12 y x^{2} + 9 x^{2}

2 x^{2} + 11 x - 21

2 x + 1 > 0

2 x + 9 + 3 x + x = 4 x + 3