What is factor 14z^2+33z-5 ?

The solution to factor 14z^2+33z-5 is (7z-1)(2z+5)

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factor 14z^2+33z-5

factor

14 z^{2} + 33 z - 5

(7 z - 1) (2 z + 5)

Solution steps

14 z^{2} + 33 z - 5

Break the expression into groups

= (14 z^{2} - 2 z) + (35 z - 5)

Factor out

2 z

from

14 z^{2} - 2 z : 2 z (7 z - 1)

Factor out

5

from

35 z - 5 : 5 (7 z - 1)

= 2 z (7 z - 1) + 5 (7 z - 1)

Factor out common term

7 z - 1

= (7 z - 1) (2 z + 5)

\frac{4 6}{3}

\frac{3}{8} \times \frac{1}{4}

18 \times \frac{1}{3}

x - \frac{x ^{2}}{2}

x + 1 + x