What is factor 5w^2+13w-6 ?

The solution to factor 5w^2+13w-6 is (5w-2)(w+3)

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factor 5w^2+13w-6

factor

5 w^{2} + 13 w - 6

(5 w - 2) (w + 3)

Solution steps

5 w^{2} + 13 w - 6

Break the expression into groups

= (5 w^{2} - 2 w) + (15 w - 6)

Factor out

w

from

5 w^{2} - 2 w : w (5 w - 2)

Factor out

3

from

15 w - 6 : 3 (5 w - 2)

= w (5 w - 2) + 3 (5 w - 2)

Factor out common term

5 w - 2

= (5 w - 2) (w + 3)

3 x^{2} + 7 - 10 x = 0

7 x^{2} + 28 x - 35

(x - 7) (x + 9) < 0

\frac{3}{- 1}

3 (x + 4) = 5 x + 12