What is factor 2w^2+3w-54 ?

The solution to factor 2w^2+3w-54 is (2w-9)(w+6)

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factor 2w^2+3w-54

factor

2 w^{2} + 3 w - 54

(2 w - 9) (w + 6)

Solution steps

2 w^{2} + 3 w - 54

Break the expression into groups

= (2 w^{2} - 9 w) + (12 w - 54)

Factor out

w

from

2 w^{2} - 9 w : w (2 w - 9)

Factor out

6

from

12 w - 54 : 6 (2 w - 9)

= w (2 w - 9) + 6 (2 w - 9)

Factor out common term

2 w - 9

= (2 w - 9) (w + 6)

x^{3} - 3 x^{2} + 3 x + 7

6^{2} - 5 (6) - 4

x^{2} - 4 x - 2 = 0

∣ 2 x + 9 ∣ + 9 = 4 x

9 x^{3} - 27 x^{2} - 90 x