What is factor 2x^2+11x-63 ?

The solution to factor 2x^2+11x-63 is (2x-7)(x+9)

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factor 2x^2+11x-63

factor

2 x^{2} + 11 x - 63

(2 x - 7) (x + 9)

Solution steps

2 x^{2} + 11 x - 63

Break the expression into groups

= (2 x^{2} - 7 x) + (18 x - 63)

Factor out

x

from

2 x^{2} - 7 x : x (2 x - 7)

Factor out

9

from

18 x - 63 : 9 (2 x - 7)

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

Factor out common term

2 x - 7

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

\frac{2}{3} \cdot 9

x^{2} - 18 x + 82 = 0

x^{2} = x + 20

- 16 t^{2} + 96 t + 112

3 x^{2} + 6 x - 62 = 7