What is factor 6n^2-11n-10 ?

The solution to factor 6n^2-11n-10 is (3n+2)(2n-5)

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factor 6n^2-11n-10

factor

6 n^{2} - 11 n - 10

(3 n + 2) (2 n - 5)

Solution steps

6 n^{2} - 11 n - 10

Break the expression into groups

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

Factor out

2 n

from

6 n^{2} + 4 n : 2 n (3 n + 2)

Factor out

- 5

from

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

= 2 n (3 n + 2) - 5 (3 n + 2)

Factor out common term

3 n + 2

= (3 n + 2) (2 n - 5)

∣ x ∣ < 14

(x - 3)^{2} + 2

x^{2} + 4 x - 94 = 0

\frac{7}{4 2}

- 6 x < 18