What is factor 2x^2+x-6 ?

The solution to factor 2x^2+x-6 is (2x-3)(x+2)

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factor 2x^2+x-6

factor

2 x^{2} + x - 6

(2 x - 3) (x + 2)

Solution steps

2 x^{2} + x - 6

Break the expression into groups

= (2 x^{2} - 3 x) + (4 x - 6)

Factor out

x

from

2 x^{2} - 3 x : x (2 x - 3)

Factor out

2

from

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

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

Factor out common term

2 x - 3

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

5 - 6 x = - 7

(3 x + 10)^{2} = 81

lo g_{0.5} (15) = 1 - 2 x

7.5 < x

15 \cdot 15