What is factor 5z^2+37z+14 ?

The solution to factor 5z^2+37z+14 is (5z+2)(z+7)

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factor 5z^2+37z+14

factor

5 z^{2} + 37 z + 14

(5 z + 2) (z + 7)

Solution steps

5 z^{2} + 37 z + 14

Break the expression into groups

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

Factor out

z

from

5 z^{2} + 2 z : z (5 z + 2)

Factor out

7

from

35 z + 14 : 7 (5 z + 2)

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

Factor out common term

5 z + 2

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

x^{2} + \frac{3}{4} x + x

x^{2} + 4 x + 5 = 0

1 \geq - 3 - a

- 3 x = 0

5 x + 2 > 3 x + 10