What is factor 15x^2-2x-8 ?

The solution to factor 15x^2-2x-8 is (3x+2)(5x-4)

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factor 15x^2-2x-8

factor

15 x^{2} - 2 x - 8

(3 x + 2) (5 x - 4)

Solution steps

15 x^{2} - 2 x - 8

Break the expression into groups

= (15 x^{2} + 10 x) + (- 12 x - 8)

Factor out

5 x

from

15 x^{2} + 10 x : 5 x (3 x + 2)

Factor out

- 4

from

- 12 x - 8 : - 4 (3 x + 2)

= 5 x (3 x + 2) - 4 (3 x + 2)

Factor out common term

3 x + 2

= (3 x + 2) (5 x - 4)

3 b + b

x^{2} - 14 x + 40

\frac{5}{6} = \frac{x - 4}{12}

- 50 x^{2} + 45

\frac{x + 3}{6} < 2