What is factor 6x^2-5x-21 ?

The solution to factor 6x^2-5x-21 is (2x+3)(3x-7)

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factor 6x^2-5x-21

factor

6 x^{2} - 5 x - 21

(2 x + 3) (3 x - 7)

Solution steps

6 x^{2} - 5 x - 21

Break the expression into groups

= (6 x^{2} + 9 x) + (- 14 x - 21)

Factor out

3 x

from

6 x^{2} + 9 x : 3 x (2 x + 3)

Factor out

- 7

from

- 14 x - 21 : - 7 (2 x + 3)

= 3 x (2 x + 3) - 7 (2 x + 3)

Factor out common term

2 x + 3

= (2 x + 3) (3 x - 7)

∣ 6 x - 9 ∣ < 9

\frac{x ^{2} - 16}{x ^{2} - 25} < 0

\frac{9 ^{- 5}}{9 ^{3}}

3 s^{2} + 4 s - 4

4 y + 2 < 6 and 3 y + 6 < 18