What is factor 3z^2+z-14 ?

The solution to factor 3z^2+z-14 is (z-2)(3z+7)

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factor 3z^2+z-14

factor

3 z^{2} + z - 14

(z - 2) (3 z + 7)

Solution steps

3 z^{2} + z - 14

Break the expression into groups

= (3 z^{2} - 6 z) + (7 z - 14)

Factor out

3 z

from

3 z^{2} - 6 z : 3 z (z - 2)

Factor out

7

from

7 z - 14 : 7 (z - 2)

= 3 z (z - 2) + 7 (z - 2)

Factor out common term

z - 2

= (z - 2) (3 z + 7)

- 8 x - 14 = 7 (- 2 - 4 x) + 4 x

a^{3} - a^{2}

\frac{2 x + 12}{7} = \frac{3 x + 5}{4}

5 n + 10 (2 n) + 25 (76 - 3 n) = 850

(2 x - 3) (4 x + 5) \leq (8 x + 1) (x - 7)