What is factor 12z^2+7z-12 ?

The solution to factor 12z^2+7z-12 is (4z-3)(3z+4)

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factor 12z^2+7z-12

factor

12 z^{2} + 7 z - 12

(4 z - 3) (3 z + 4)

Solution steps

12 z^{2} + 7 z - 12

Break the expression into groups

= (12 z^{2} - 9 z) + (16 z - 12)

Factor out

3 z

from

12 z^{2} - 9 z : 3 z (4 z - 3)

Factor out

4

from

16 z - 12 : 4 (4 z - 3)

= 3 z (4 z - 3) + 4 (4 z - 3)

Factor out common term

4 z - 3

= (4 z - 3) (3 z + 4)

9 x^{2} + 21 x + 10 = 0

x^{2} - 1 x - 2

(- 7 i)^{2}

\frac{4}{3} + \frac{4}{3}

14 x - 2 (x + 5) < 3 (2 x - 8)