What is factor z^2+5z-14 ?

The solution to factor z^2+5z-14 is (z-2)(z+7)

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factor z^2+5z-14

factor

z^{2} + 5 z - 14

(z - 2) (z + 7)

Solution steps

z^{2} + 5 z - 14

Break the expression into groups

= (z^{2} - 2 z) + (7 z - 14)

Factor out

z

from

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

Factor out

7

from

7 z - 14 : 7 (z - 2)

= z (z - 2) + 7 (z - 2)

Factor out common term

z - 2

= (z - 2) (z + 7)

0.8 5^{2}

3 x^{2} + 12 x + 3 = 0

2 (- 3) + \frac{3}{( - 2 )} + \frac{- ( 2 )}{( - 16 )}

\frac{x}{5} - \frac{x}{9} = - 1

3 y + 1 < 3 y + 1