What is factor n^2+n-72 ?

The solution to factor n^2+n-72 is (n-8)(n+9)

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factor n^2+n-72

factor

n^{2} + n - 72

(n - 8) (n + 9)

Solution steps

n^{2} + n - 72

Break the expression into groups

= (n^{2} - 8 n) + (9 n - 72)

Factor out

n

from

n^{2} - 8 n : n (n - 8)

Factor out

9

from

9 n - 72 : 9 (n - 8)

= n (n - 8) + 9 (n - 8)

Factor out common term

n - 8

= (n - 8) (n + 9)

12 x^{2} - 7 x - 12 > 0

2 x + 2 < - 4 and 5 x - 3 > 17

- 2 x \leq - 8

2 x^{2} - x = 21

(7 x + 2)^{2} = 27