What is factor 15x^2-19x+6 ?

The solution to factor 15x^2-19x+6 is (5x-3)(3x-2)

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factor 15x^2-19x+6

factor

15 x^{2} - 19 x + 6

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

Solution steps

15 x^{2} - 19 x + 6

Break the expression into groups

= (15 x^{2} - 9 x) + (- 10 x + 6)

Factor out

3 x

from

15 x^{2} - 9 x : 3 x (5 x - 3)

Factor out

- 2

from

- 10 x + 6 : - 2 (5 x - 3)

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

Factor out common term

5 x - 3

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

\frac{3}{∣ 5 - 2 x ∣} < 2

\frac{x}{6} + 2 \geq - 16

8 + \frac{x}{- 4} = 5

x^{6} - 16 x^{2}

8 x^{3} - 800 x