What is factor 5x^2+9x-2 ?

The solution to factor 5x^2+9x-2 is (5x-1)(x+2)

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factor 5x^2+9x-2

factor

5 x^{2} + 9 x - 2

(5 x - 1) (x + 2)

Solution steps

5 x^{2} + 9 x - 2

Break the expression into groups

= (5 x^{2} - x) + (10 x - 2)

Factor out

x

from

5 x^{2} - x : x (5 x - 1)

Factor out

2

from

10 x - 2 : 2 (5 x - 1)

= x (5 x - 1) + 2 (5 x - 1)

Factor out common term

5 x - 1

= (5 x - 1) (x + 2)

6 x + 9 = 6 (x + 5) - 21

x - 6 = 7

2 7^{3}

9 c - 3 c^{2}