What is factor x^2+8x-65 ?

The solution to factor x^2+8x-65 is (x-5)(x+13)

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factor x^2+8x-65

factor

x^{2} + 8 x - 65

(x - 5) (x + 13)

Solution steps

x^{2} + 8 x - 65

Break the expression into groups

= (x^{2} - 5 x) + (13 x - 65)

Factor out

x

from

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

Factor out

13

from

13 x - 65 : 13 (x - 5)

= x (x - 5) + 13 (x - 5)

Factor out common term

x - 5

= (x - 5) (x + 13)

- \frac{1}{3} \cdot (- \frac{1}{3})

x^{2} - x^{2} y + x y - x

- x \cdot (7 - x) = 0

∣ x - 4 ∣ < - 7

∣ 5 x + 10 ∣ + 4 = 15