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)

\frac{b}{3} + 12 < - 3

- \frac{1}{4} (- 2)

(x - 5)^{2} = - 4

6 x^{2} - 11 x + 10 = 0

∣ 5 t - 6 ∣ \leq 4