What is factor 6x^2+x-40 ?

The solution to factor 6x^2+x-40 is (2x-5)(3x+8)

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factor 6x^2+x-40

factor

6 x^{2} + x - 40

(2 x - 5) (3 x + 8)

Solution steps

6 x^{2} + x - 40

Break the expression into groups

= (6 x^{2} - 15 x) + (16 x - 40)

Factor out

3 x

from

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

Factor out

8

from

16 x - 40 : 8 (2 x - 5)

= 3 x (2 x - 5) + 8 (2 x - 5)

Factor out common term

2 x - 5

= (2 x - 5) (3 x + 8)

- 3 x \leq - 9

2 x + 5 = 3 x - 2

- 13 (q + 4) = 7 q + 16

r^{2} + 3 r - 10 = 0

e^{\frac{2 πi}{2}}