What is factor x^2-6x-72 ?

The solution to factor x^2-6x-72 is (x+6)(x-12)

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factor x^2-6x-72

factor

x^{2} - 6 x - 72

(x + 6) (x - 12)

Solution steps

x^{2} - 6 x - 72

Break the expression into groups

= (x^{2} + 6 x) + (- 12 x - 72)

Factor out

x

from

x^{2} + 6 x : x (x + 6)

Factor out

- 12

from

- 12 x - 72 : - 12 (x + 6)

= x (x + 6) - 12 (x + 6)

Factor out common term

x + 6

= (x + 6) (x - 12)

(- 1 - 3 i) \cdot (- 1 + i)

6^{- \frac{5}{4}} \cdot 6^{- \frac{8}{7}}

14 \cdot 1012

5 x^{2} + x + 1 = 0

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