What is factor 6x^2-x-15 ?

The solution to factor 6x^2-x-15 is (2x+3)(3x-5)

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factor 6x^2-x-15

factor

6 x^{2} - x - 15

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

Solution steps

6 x^{2} - x - 15

Break the expression into groups

= (6 x^{2} + 9 x) + (- 10 x - 15)

Factor out

3 x

from

6 x^{2} + 9 x : 3 x (2 x + 3)

Factor out

- 5

from

- 10 x - 15 : - 5 (2 x + 3)

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

Factor out common term

2 x + 3

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

(1 - 3 i)^{2}

2 \leq ∣ 4 - x ∣ < 7

0 \leq 2 x^{2} + 5 x - 3

3 (8 - 2 x) = 6 (x + 4)

45 \cdot 4