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

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

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factor 5k^2+13k-6

factor

5 k^{2} + 13 k - 6

(5 k - 2) (k + 3)

Solution steps

5 k^{2} + 13 k - 6

Break the expression into groups

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

Factor out

k

from

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

Factor out

3

from

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

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

Factor out common term

5 k - 2

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

10 y^{2} - 3 y (x - 2 y) - (x - 2 y)^{2}

3 x^{2} \leq x (x + 1)

\frac{40 - 8 x}{x ^{2}} \leq 0

- 2 x \leq - 8 or - 2 x \geq 0

7 x + 9 - 10 x = - 18