What is factor 5x^2-10x+3x-6 ?

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

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factor 5x^2-10x+3x-6

factor

5 x^{2} - 10 x + 3 x - 6

(5 x + 3) (x - 2)

Solution steps

5 x^{2} - 10 x + 3 x - 6

Add similar elements:

- 10 x + 3 x = - 7 x

= 5 x^{2} - 7 x - 6

Break the expression into groups

= (5 x^{2} + 3 x) + (- 10 x - 6)

Factor out

x

from

5 x^{2} + 3 x : x (5 x + 3)

Factor out

- 2

from

- 10 x - 6 : - 2 (5 x + 3)

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

Factor out common term

5 x + 3

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

x + \frac{6}{x}

sin (3 x) sin (3 x)

3 x^{3} - 8 x^{2} - 20 x + 16

\frac{9}{5} + 2

\frac{1024}{5}

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