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

The solution to factor 2x^2-5x-12 is (2x+3)(x-4)

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factor 2x^2-5x-12

factor

2 x^{2} - 5 x - 12

(2 x + 3) (x - 4)

Solution steps

2 x^{2} - 5 x - 12

Break the expression into groups

= (2 x^{2} + 3 x) + (- 8 x - 12)

Factor out

x

from

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

Factor out

- 4

from

- 8 x - 12 : - 4 (2 x + 3)

= x (2 x + 3) - 4 (2 x + 3)

Factor out common term

2 x + 3

= (2 x + 3) (x - 4)

8 x^{2} + 14 x y - 15 y^{2}

- x^{2} + x + 2 = 0

\frac{7}{8} - \frac{3}{4} \cdot \frac{1}{4}

x^{2} - 10 x = 7

22 x^{2} + 66 x - 220