What is factor 6x^2-13x-63 ?

The solution to factor 6x^2-13x-63 is (3x+7)(2x-9)

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factor 6x^2-13x-63

factor

6 x^{2} - 13 x - 63

(3 x + 7) (2 x - 9)

Solution steps

6 x^{2} - 13 x - 63

Break the expression into groups

= (6 x^{2} + 14 x) + (- 27 x - 63)

Factor out

2 x

from

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

Factor out

- 9

from

- 27 x - 63 : - 9 (3 x + 7)

= 2 x (3 x + 7) - 9 (3 x + 7)

Factor out common term

3 x + 7

= (3 x + 7) (2 x - 9)

a^{- 7}

10 x + 9 = 4 x - 9

x^{2} - x + 2

\frac{( - 3 + 2 i )}{- 2 + i}

2^{5}