What is factor 12x^2-7x-10 ?

The solution to factor 12x^2-7x-10 is (3x+2)(4x-5)

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factor 12x^2-7x-10

factor

12 x^{2} - 7 x - 10

(3 x + 2) (4 x - 5)

Solution steps

12 x^{2} - 7 x - 10

Break the expression into groups

= (12 x^{2} + 8 x) + (- 15 x - 10)

Factor out

4 x

from

12 x^{2} + 8 x : 4 x (3 x + 2)

Factor out

- 5

from

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

= 4 x (3 x + 2) - 5 (3 x + 2)

Factor out common term

3 x + 2

= (3 x + 2) (4 x - 5)

(- 125)^{- \frac{1}{3}}

- 5 + 9

- (2 5^{- \frac{3}{2}})

\frac{π}{2} - \frac{π}{10}

9 - 2 \cdot \frac{3}{2}