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

The solution to factor 15x^2+x-2 is (3x-1)(5x+2)

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factor 15x^2+x-2

factor

15 x^{2} + x - 2

(3 x - 1) (5 x + 2)

Solution steps

15 x^{2} + x - 2

Break the expression into groups

= (15 x^{2} - 5 x) + (6 x - 2)

Factor out

5 x

from

15 x^{2} - 5 x : 5 x (3 x - 1)

Factor out

2

from

6 x - 2 : 2 (3 x - 1)

= 5 x (3 x - 1) + 2 (3 x - 1)

Factor out common term

3 x - 1

= (3 x - 1) (5 x + 2)

x + 6 = x^{2} + 2 x

2 y - 7 > 8 y + 9

- 87 = - 3 (3 r + 8)

0 = 12 x^{2} - 72 x + 96

x^{2} - 36 x + 324 = 0