What is factor 6n^2+5n-6 ?

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

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factor 6n^2+5n-6

factor

6 n^{2} + 5 n - 6

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

Solution steps

6 n^{2} + 5 n - 6

Break the expression into groups

= (6 n^{2} - 4 n) + (9 n - 6)

Factor out

2 n

from

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

Factor out

3

from

9 n - 6 : 3 (3 n - 2)

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

Factor out common term

3 n - 2

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

5 x - 7 < 13

y, x + y = 5

\frac{x}{2} + \frac{13}{10} = \frac{13 - x}{2}

- 16 n = 241.6

7 < \frac{x}{2} + 4