What is factor 8k^2-6k-9 ?

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

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factor 8k^2-6k-9

factor

8 k^{2} - 6 k - 9

(4 k + 3) (2 k - 3)

Solution steps

8 k^{2} - 6 k - 9

Break the expression into groups

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

Factor out

2 k

from

8 k^{2} + 6 k : 2 k (4 k + 3)

Factor out

- 3

from

- 12 k - 9 : - 3 (4 k + 3)

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

Factor out common term

4 k + 3

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

k^{2} - 12 k + 23 = 0

- 8 x + 8 = - 3 x + 3

\frac{m ^{2} n ^{- 5}}{m ^{7} n ^{- 17}}

2 x^{2} - x - 1 = - 1