What is factor 7x^2-8x-12 ?

The solution to factor 7x^2-8x-12 is (7x+6)(x-2)

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factor 7x^2-8x-12

factor

7 x^{2} - 8 x - 12

(7 x + 6) (x - 2)

Solution steps

7 x^{2} - 8 x - 12

Break the expression into groups

= (7 x^{2} + 6 x) + (- 14 x - 12)

Factor out

x

from

7 x^{2} + 6 x : x (7 x + 6)

Factor out

- 2

from

- 14 x - 12 : - 2 (7 x + 6)

= x (7 x + 6) - 2 (7 x + 6)

Factor out common term

7 x + 6

= (7 x + 6) (x - 2)

\frac{8 x}{7} + 9 = 30

2 y + 7 - 4 (3 - 2 y) = - 8

4 x^{2} - 12 x

15 x^{2} - 14 x - 8

10 b^{2} + 20 b + 30