What is factor 6a^2-7a-24 ?

The solution to factor 6a^2-7a-24 is (2a+3)(3a-8)

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factor 6a^2-7a-24

factor

6 a^{2} - 7 a - 24

(2 a + 3) (3 a - 8)

Solution steps

6 a^{2} - 7 a - 24

Break the expression into groups

= (6 a^{2} + 9 a) + (- 16 a - 24)

Factor out

3 a

from

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

Factor out

- 8

from

- 16 a - 24 : - 8 (2 a + 3)

= 3 a (2 a + 3) - 8 (2 a + 3)

Factor out common term

2 a + 3

= (2 a + 3) (3 a - 8)

- \frac{4}{9}

- \frac{4}{25}

- 9 + x^{2} - 6 x^{2} - 2

(8 x + 9)^{2}

4 x^{3} + 12 x^{2} - 8 x