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

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

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factor 5u^2+13u-6

factor

5 u^{2} + 13 u - 6

(5 u - 2) (u + 3)

Solution steps

5 u^{2} + 13 u - 6

Break the expression into groups

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

Factor out

u

from

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

Factor out

3

from

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

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

Factor out common term

5 u - 2

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

121 x^{2} - 400 = 0

2 r^{2} - 3 r - 1 = 0

3 x^{2} + 1 = 4 x

3 (x - 4)^{2} - 12

7 x + 14 = 9 x - 8