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

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

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factor 6a^2-5a-21

factor

6 a^{2} - 5 a - 21

(2 a + 3) (3 a - 7)

Solution steps

6 a^{2} - 5 a - 21

Break the expression into groups

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

Factor out

3 a

from

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

Factor out

- 7

from

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

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

Factor out common term

2 a + 3

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

6 (x + 2)^{2} - 7

- (3 x - 7)

\frac{\frac{9}{7}}{3}

(- 3)^{2} - 1

\frac{3}{2} \cdot \frac{5}{3}