What is factor 6m^2-13m+6 ?

The solution to factor 6m^2-13m+6 is (3m-2)(2m-3)

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factor 6m^2-13m+6

factor

6 m^{2} - 13 m + 6

(3 m - 2) (2 m - 3)

Solution steps

6 m^{2} - 13 m + 6

Break the expression into groups

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

Factor out

2 m

from

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

Factor out

- 3

from

- 9 m + 6 : - 3 (3 m - 2)

= 2 m (3 m - 2) - 3 (3 m - 2)

Factor out common term

3 m - 2

= (3 m - 2) (2 m - 3)

r^{2} + \frac{1}{4} r + 2 = 0

9 + \frac{n}{3} > 16

\frac{3}{4 3}

\frac{1}{2} x^{2} + 5 x = - 14

x^{2} + 5 x + 7 = 0