What is factor 117x^2+55x-28 ?

The solution to factor 117x^2+55x-28 is (13x-4)(9x+7)

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factor 117x^2+55x-28

factor

117 x^{2} + 55 x - 28

(13 x - 4) (9 x + 7)

Solution steps

117 x^{2} + 55 x - 28

Break the expression into groups

= (117 x^{2} - 36 x) + (91 x - 28)

Factor out

9 x

from

117 x^{2} - 36 x : 9 x (13 x - 4)

Factor out

7

from

91 x - 28 : 7 (13 x - 4)

= 9 x (13 x - 4) + 7 (13 x - 4)

Factor out common term

13 x - 4

= (13 x - 4) (9 x + 7)

3 \cdot \frac{2}{9}

3 x - 4 \geq 5 x + 6

6 x^{2} - 4 x + 1 = - 9 x + 5

7 > - 2 x + 6

x^{2} + 4 x = 0

What is factor 117x^2+55x-28 ?
The solution to factor 117x^2+55x-28 is (13x-4)(9x+7)