What is factor 6a^2-7a+2 ?

The solution to factor 6a^2-7a+2 is (2a-1)(3a-2)

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factor 6a^2-7a+2

factor

6 a^{2} - 7 a + 2

(2 a - 1) (3 a - 2)

Solution steps

6 a^{2} - 7 a + 2

Break the expression into groups

= (6 a^{2} - 3 a) + (- 4 a + 2)

Factor out

3 a

from

6 a^{2} - 3 a : 3 a (2 a - 1)

Factor out

- 2

from

- 4 a + 2 : - 2 (2 a - 1)

= 3 a (2 a - 1) - 2 (2 a - 1)

Factor out common term

2 a - 1

= (2 a - 1) (3 a - 2)

14 x^{2} - 3 x - 2

12 x^{2} - 15 x - 6 = 0

3 y^{2} - y = 2

2^{22}

3 x = - 18