What is factor 21x^2-32x-5 ?

The solution to factor 21x^2-32x-5 is (7x+1)(3x-5)

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factor 21x^2-32x-5

factor

21 x^{2} - 32 x - 5

(7 x + 1) (3 x - 5)

Solution steps

21 x^{2} - 32 x - 5

Break the expression into groups

= (21 x^{2} + 3 x) + (- 35 x - 5)

Factor out

3 x

from

21 x^{2} + 3 x : 3 x (7 x + 1)

Factor out

- 5

from

- 35 x - 5 : - 5 (7 x + 1)

= 3 x (7 x + 1) - 5 (7 x + 1)

Factor out common term

7 x + 1

= (7 x + 1) (3 x - 5)

3 < 2 x - 3 < 15

∣ q + 7 ∣ \leq 9

5 ∣ 2 x - 7 ∣ = 15

∣ x - 1 ∣ = 5 x + 2

\frac{m n ^{- 4}}{p ^{0} q ^{- 2}}