What is factor x^2-30x-675 ?

The solution to factor x^2-30x-675 is (x+15)(x-45)

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factor x^2-30x-675

factor

x^{2} - 30 x - 675

(x + 15) (x - 45)

Solution steps

x^{2} - 30 x - 675

Break the expression into groups

= (x^{2} + 15 x) + (- 45 x - 675)

Factor out

x

from

x^{2} + 15 x : x (x + 15)

Factor out

- 45

from

- 45 x - 675 : - 45 (x + 15)

= x (x + 15) - 45 (x + 15)

Factor out common term

x + 15

= (x + 15) (x - 45)

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