What is factor 6x^2+5x-56 ?

The solution to factor 6x^2+5x-56 is (3x-8)(2x+7)

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factor 6x^2+5x-56

factor

6 x^{2} + 5 x - 56

(3 x - 8) (2 x + 7)

Solution steps

6 x^{2} + 5 x - 56

Break the expression into groups

= (6 x^{2} - 16 x) + (21 x - 56)

Factor out

2 x

from

6 x^{2} - 16 x : 2 x (3 x - 8)

Factor out

7

from

21 x - 56 : 7 (3 x - 8)

= 2 x (3 x - 8) + 7 (3 x - 8)

Factor out common term

3 x - 8

= (3 x - 8) (2 x + 7)

\frac{1}{9} \cdot 3

26 + 6 b \geq 2 (3 b + 4)

\frac{1}{a} + \frac{1}{a}

x^{2} + 2 x \geq 15

2 x + 57 = 41 + 204