What is factor 5x^2-4x-12 ?

The solution to factor 5x^2-4x-12 is (5x+6)(x-2)

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factor 5x^2-4x-12

factor

5 x^{2} - 4 x - 12

(5 x + 6) (x - 2)

Solution steps

5 x^{2} - 4 x - 12

Break the expression into groups

= (5 x^{2} + 6 x) + (- 10 x - 12)

Factor out

x

from

5 x^{2} + 6 x : x (5 x + 6)

Factor out

- 2

from

- 10 x - 12 : - 2 (5 x + 6)

= x (5 x + 6) - 2 (5 x + 6)

Factor out common term

5 x + 6

= (5 x + 6) (x - 2)

3 x^{2} - 2 = - 5 x

2 m^{2} - 3 m - 9

4 x^{2} - 17 x + 18

\frac{2}{3} + \frac{3}{5}

4 x^{2} = 144