What is factor 4z^2+z-5 ?

The solution to factor 4z^2+z-5 is (z-1)(4z+5)

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factor 4z^2+z-5

factor

4 z^{2} + z - 5

(z - 1) (4 z + 5)

Solution steps

4 z^{2} + z - 5

Break the expression into groups

= (4 z^{2} - 4 z) + (5 z - 5)

Factor out

4 z

from

4 z^{2} - 4 z : 4 z (z - 1)

Factor out

5

from

5 z - 5 : 5 (z - 1)

= 4 z (z - 1) + 5 (z - 1)

Factor out common term

z - 1

= (z - 1) (4 z + 5)

\frac{x}{3} - 2 \leq 4

- 36 = 6 (2 - 8 n)

- 6 t - 7 = 17

- 84 \geq 3 (2 x - 2)

- 4 x \geq 5 x - \frac{9}{2}