What is factor 12x^2-7x-12 ?

The solution to factor 12x^2-7x-12 is (4x+3)(3x-4)

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factor 12x^2-7x-12

factor

12 x^{2} - 7 x - 12

(4 x + 3) (3 x - 4)

Solution steps

12 x^{2} - 7 x - 12

Break the expression into groups

= (12 x^{2} + 9 x) + (- 16 x - 12)

Factor out

3 x

from

12 x^{2} + 9 x : 3 x (4 x + 3)

Factor out

- 4

from

- 16 x - 12 : - 4 (4 x + 3)

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

Factor out common term

4 x + 3

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

350 - 272 + 24

(\frac{7}{9})^{- 2}

3 \cdot \frac{5}{6}

- 1 \cdot \frac{1}{2}

3 x^{2} + x - \frac{1}{2} = 0