What is factor x^2-7x-60 ?

The solution to factor x^2-7x-60 is (x+5)(x-12)

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factor x^2-7x-60

factor

x^{2} - 7 x - 60

(x + 5) (x - 12)

Solution steps

x^{2} - 7 x - 60

Break the expression into groups

= (x^{2} + 5 x) + (- 12 x - 60)

Factor out

x

from

x^{2} + 5 x : x (x + 5)

Factor out

- 12

from

- 12 x - 60 : - 12 (x + 5)

= x (x + 5) - 12 (x + 5)

Factor out common term

x + 5

= (x + 5) (x - 12)

45 = \frac{1}{2} (13) v^{2}

\frac{x}{2} + 20 + 2 x - \frac{25}{2} = 90

\frac{- 1 + 3}{2}

(x + 6) (x - 2) (x - 8) \leq 0

4 x^{2} + 12 x - 6 = 0