What is factor z^2-7z-18 ?

The solution to factor z^2-7z-18 is (z+2)(z-9)

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factor z^2-7z-18

factor

z^{2} - 7 z - 18

(z + 2) (z - 9)

Solution steps

z^{2} - 7 z - 18

Break the expression into groups

= (z^{2} + 2 z) + (- 9 z - 18)

Factor out

z

from

z^{2} + 2 z : z (z + 2)

Factor out

- 9

from

- 9 z - 18 : - 9 (z + 2)

= z (z + 2) - 9 (z + 2)

Factor out common term

z + 2

= (z + 2) (z - 9)

(2 x + 8) (x - 5) = 0

∣ 2 x - 1 ∣ = 6

4 (3 x - 6) = 24

32 x^{2} y - 2 y

x y + 5 y - 8 x - 40