What is factor 6x^2-19x+10 ?

The solution to factor 6x^2-19x+10 is (3x-2)(2x-5)

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factor 6x^2-19x+10

factor

6 x^{2} - 19 x + 10

(3 x - 2) (2 x - 5)

Solution steps

6 x^{2} - 19 x + 10

Break the expression into groups

= (6 x^{2} - 4 x) + (- 15 x + 10)

Factor out

2 x

from

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

Factor out

- 5

from

- 15 x + 10 : - 5 (3 x - 2)

= 2 x (3 x - 2) - 5 (3 x - 2)

Factor out common term

3 x - 2

= (3 x - 2) (2 x - 5)

x^{2} - 15 x = 0

2 x^{2} - 2 = 4 x

(2 x + 3)^{3} (x - 2)^{2} \leq 0

7 x^{2} - 14 x + 2 = 0

9 + \frac{n}{4} = 15