What is factor 6x^2-7x-10 ?

The solution to factor 6x^2-7x-10 is (6x+5)(x-2)

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factor 6x^2-7x-10

factor

6 x^{2} - 7 x - 10

(6 x + 5) (x - 2)

Solution steps

6 x^{2} - 7 x - 10

Break the expression into groups

= (6 x^{2} + 5 x) + (- 12 x - 10)

Factor out

x

from

6 x^{2} + 5 x : x (6 x + 5)

Factor out

- 2

from

- 12 x - 10 : - 2 (6 x + 5)

= x (6 x + 5) - 2 (6 x + 5)

Factor out common term

6 x + 5

= (6 x + 5) (x - 2)

2 x^{3} - x^{2} - 32 x + 16

3 x^{2} - 5 x + 4 = 0

3 x^{2} - 4 x - 13 = 0

6 x + 24 = - 36

- 3 - \frac{3}{5}