What is factor 4z^2+4z-3 ?

The solution to factor 4z^2+4z-3 is (2z-1)(2z+3)

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factor 4z^2+4z-3

factor

4 z^{2} + 4 z - 3

(2 z - 1) (2 z + 3)

Solution steps

4 z^{2} + 4 z - 3

Break the expression into groups

= (4 z^{2} - 2 z) + (6 z - 3)

Factor out

2 z

from

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

Factor out

3

from

6 z - 3 : 3 (2 z - 1)

= 2 z (2 z - 1) + 3 (2 z - 1)

Factor out common term

2 z - 1

= (2 z - 1) (2 z + 3)

- 6 < 2 x + 1 < 5

12 x^{3} + 8 x^{2} - 3 x - 2 \leq 0

\frac{2}{2} + \frac{1}{2}

\frac{8}{3} x > 24

b^{2} - 4