What is factor 3z^2+19z+20 ?

The solution to factor 3z^2+19z+20 is (3z+4)(z+5)

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factor 3z^2+19z+20

factor

3 z^{2} + 19 z + 20

(3 z + 4) (z + 5)

Solution steps

3 z^{2} + 19 z + 20

Break the expression into groups

= (3 z^{2} + 4 z) + (15 z + 20)

Factor out

z

from

3 z^{2} + 4 z : z (3 z + 4)

Factor out

5

from

15 z + 20 : 5 (3 z + 4)

= z (3 z + 4) + 5 (3 z + 4)

Factor out common term

3 z + 4

= (3 z + 4) (z + 5)

\frac{2}{3} x - 5 = 7

2 x - \frac{16}{5} \leq \frac{1}{3}

32 x^{2} + 18 x - 17 = 0

x^{2} - 6 x - 7 \geq 4

6 x^{2} - 12 x = - 3