What is factor 30x^2-13x-77 ?

The solution to factor 30x^2-13x-77 is (5x+7)(6x-11)

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factor 30x^2-13x-77

factor

30 x^{2} - 13 x - 77

(5 x + 7) (6 x - 11)

Solution steps

30 x^{2} - 13 x - 77

Break the expression into groups

= (30 x^{2} + 42 x) + (- 55 x - 77)

Factor out

6 x

from

30 x^{2} + 42 x : 6 x (5 x + 7)

Factor out

- 11

from

- 55 x - 77 : - 11 (5 x + 7)

= 6 x (5 x + 7) - 11 (5 x + 7)

Factor out common term

5 x + 7

= (5 x + 7) (6 x - 11)

\frac{1}{20} \cdot 100

x^{2} + x - 42 < 0

- 2 < x \leq 8

x - 9 \leq 8 x - 1

What is factor 30x^2-13x-77 ?
The solution to factor 30x^2-13x-77 is (5x+7)(6x-11)