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)

x^{2} + 6 x + 2 = 0

∣ x - 4 ∣ = 1

\frac{a}{2} - 1 \geq 1

3 m > 24

3 y + 5 < 10