What is factor 10x^2-17x+6 ?

The solution to factor 10x^2-17x+6 is (2x-1)(5x-6)

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factor 10x^2-17x+6

factor

10 x^{2} - 17 x + 6

(2 x - 1) (5 x - 6)

Solution steps

10 x^{2} - 17 x + 6

Break the expression into groups

= (10 x^{2} - 5 x) + (- 12 x + 6)

Factor out

5 x

from

10 x^{2} - 5 x : 5 x (2 x - 1)

Factor out

- 6

from

- 12 x + 6 : - 6 (2 x - 1)

= 5 x (2 x - 1) - 6 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (5 x - 6)

x^{2} - 6 x + 8 = 0

\frac{1}{36} \cdot \frac{2}{3}

3^{x} = 81

- 3 x^{2} + 6 x = 0

u + \frac{11}{6} > - \frac{7}{6}