What is factor 4b^2+15b-4 ?

The solution to factor 4b^2+15b-4 is (4b-1)(b+4)

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factor 4b^2+15b-4

factor

4 b^{2} + 15 b - 4

(4 b - 1) (b + 4)

Solution steps

4 b^{2} + 15 b - 4

Break the expression into groups

= (4 b^{2} - b) + (16 b - 4)

Factor out

b

from

4 b^{2} - b : b (4 b - 1)

Factor out

4

from

16 b - 4 : 4 (4 b - 1)

= b (4 b - 1) + 4 (4 b - 1)

Factor out common term

4 b - 1

= (4 b - 1) (b + 4)

m^{2} + 5 m + 6 = 0

6 x^{2} + 4 x - 2 = 0

61 - 61 x = (8 x + 3) (x - 1)

2 x + 10 = 16

- 1 + 7 (m + 4) \leq 2 m - 4