What is factor 9p^2+6p-8 ?

The solution to factor 9p^2+6p-8 is (3p-2)(3p+4)

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factor 9p^2+6p-8

factor

9 p^{2} + 6 p - 8

(3 p - 2) (3 p + 4)

Solution steps

9 p^{2} + 6 p - 8

Break the expression into groups

= (9 p^{2} - 6 p) + (12 p - 8)

Factor out

3 p

from

9 p^{2} - 6 p : 3 p (3 p - 2)

Factor out

4

from

12 p - 8 : 4 (3 p - 2)

= 3 p (3 p - 2) + 4 (3 p - 2)

Factor out common term

3 p - 2

= (3 p - 2) (3 p + 4)

6 x (x - 1) = 25 - 11 x

x^{2} = - 4

x^{2} + 50 = 0

\frac{1}{2} (- 2) - 2

\frac{x}{6} = 6