What is factor 6x^2+11x-10 ?

The solution to factor 6x^2+11x-10 is (3x-2)(2x+5)

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factor 6x^2+11x-10

factor

6 x^{2} + 11 x - 10

(3 x - 2) (2 x + 5)

Solution steps

6 x^{2} + 11 x - 10

Break the expression into groups

= (6 x^{2} - 4 x) + (15 x - 10)

Factor out

2 x

from

6 x^{2} - 4 x : 2 x (3 x - 2)

Factor out

5

from

15 x - 10 : 5 (3 x - 2)

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

Factor out common term

3 x - 2

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

x - 13 > - 4

\frac{4}{5 - 7}

- 2 < 2 - 2 x \leq 10

(10 + 6) (10 - 3)

x^{2} + 7 = - 300