What is factor 7n^2-51n+14 ?

The solution to factor 7n^2-51n+14 is (7n-2)(n-7)

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factor 7n^2-51n+14

factor

7 n^{2} - 51 n + 14

(7 n - 2) (n - 7)

Solution steps

7 n^{2} - 51 n + 14

Break the expression into groups

= (7 n^{2} - 2 n) + (- 49 n + 14)

Factor out

n

from

7 n^{2} - 2 n : n (7 n - 2)

Factor out

- 7

from

- 49 n + 14 : - 7 (7 n - 2)

= n (7 n - 2) - 7 (7 n - 2)

Factor out common term

7 n - 2

= (7 n - 2) (n - 7)

r^{2} + r - 6 = 0

x^{2} + 1 x - 6

\frac{x - 2}{8 x + 1} > 0

6 \leq 4 x + 4 < 12

\frac{- 8}{15} + \frac{7}{5}