What is factor 6x^2-29x+35 ?

The solution to factor 6x^2-29x+35 is (3x-7)(2x-5)

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factor 6x^2-29x+35

factor

6 x^{2} - 29 x + 35

(3 x - 7) (2 x - 5)

Solution steps

6 x^{2} - 29 x + 35

Break the expression into groups

= (6 x^{2} - 14 x) + (- 15 x + 35)

Factor out

2 x

from

6 x^{2} - 14 x : 2 x (3 x - 7)

Factor out

- 5

from

- 15 x + 35 : - 5 (3 x - 7)

= 2 x (3 x - 7) - 5 (3 x - 7)

Factor out common term

3 x - 7

= (3 x - 7) (2 x - 5)

- 4 ∣ x + 2 ∣ - 8 = - 56

n^{2} + 7 n + 15 = 5

1 - 5 (- 7 r + 5) \leq - 5 r + 5 - 4

6 x^{2} + 2 x

∣ 2 x + 3 ∣ < 1