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

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

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factor 6x^2-13x+6

factor

6 x^{2} - 13 x + 6

(3 x - 2) (2 x - 3)

Solution steps

6 x^{2} - 13 x + 6

Break the expression into groups

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

Factor out

2 x

from

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

Factor out

- 3

from

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

= 2 x (3 x - 2) - 3 (3 x - 2)

Factor out common term

3 x - 2

= (3 x - 2) (2 x - 3)

∣ 5 x + 5 ∣ + 22 > 57

x^{4} - 9

x^{4} - 4 x^{2} - 32

x^{2} - 4 - 12

∣ x ∣ \geq - 2