What is factor 32x^2-4x-15 ?

The solution to factor 32x^2-4x-15 is (8x+5)(4x-3)

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factor 32x^2-4x-15

factor

32 x^{2} - 4 x - 15

(8 x + 5) (4 x - 3)

Solution steps

32 x^{2} - 4 x - 15

Break the expression into groups

= (32 x^{2} + 20 x) + (- 24 x - 15)

Factor out

4 x

from

32 x^{2} + 20 x : 4 x (8 x + 5)

Factor out

- 3

from

- 24 x - 15 : - 3 (8 x + 5)

= 4 x (8 x + 5) - 3 (8 x + 5)

Factor out common term

8 x + 5

= (8 x + 5) (4 x - 3)

- 9 d - 4 (- 3 d - 3) \geq 6 d + 6 + 6 d

∣ x - 9 ∣ = - 5

8 - 2 n = 2

x^{2} - (3 y + 2)^{2}

∣ x + 2 ∣ > 18