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

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

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factor 2x^2+x-15

factor

2 x^{2} + x - 15

(2 x - 5) (x + 3)

Solution steps

2 x^{2} + x - 15

Break the expression into groups

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

Factor out

x

from

2 x^{2} - 5 x : x (2 x - 5)

Factor out

3

from

6 x - 15 : 3 (2 x - 5)

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

Factor out common term

2 x - 5

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

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

6 (2 - 2 y) = 5 (2 y - 2)

- 5 t^{2} + 50 t = 105

x + 1 < 5

3 - x = ∣ 1 + 3 x ∣