What is factor 2x^2+3x-27 ?

The solution to factor 2x^2+3x-27 is (x-3)(2x+9)

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factor 2x^2+3x-27

factor

2 x^{2} + 3 x - 27

(x - 3) (2 x + 9)

Solution steps

2 x^{2} + 3 x - 27

Break the expression into groups

= (2 x^{2} - 6 x) + (9 x - 27)

Factor out

2 x

from

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

Factor out

9

from

9 x - 27 : 9 (x - 3)

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

Factor out common term

x - 3

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

x + 3 < 3 x - 1 < 2 x + 3

4 (3 + u) - u = 6 + 3 (u + 2)

(4 x - 3)^{2} + x \cdot 2 (4 x - 3) \cdot 4

9 n^{2} - 1

1^{- 7}