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

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

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factor 6z^2-13z+6

factor

6 z^{2} - 13 z + 6

(3 z - 2) (2 z - 3)

Solution steps

6 z^{2} - 13 z + 6

Break the expression into groups

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

Factor out

2 z

from

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

Factor out

- 3

from

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

= 2 z (3 z - 2) - 3 (3 z - 2)

Factor out common term

3 z - 2

= (3 z - 2) (2 z - 3)

z^{2} - 13 z - 30 = 0

y, 2 ∣ x ∣ + y = 7

x (x - 1) < 0

3 0^{2} + b^{2} = 8 0^{2}

[x + 12] \leq 4