What is factor 3x^2-14x-24 ?

The solution to factor 3x^2-14x-24 is (3x+4)(x-6)

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factor 3x^2-14x-24

factor

3 x^{2} - 14 x - 24

(3 x + 4) (x - 6)

Solution steps

3 x^{2} - 14 x - 24

Break the expression into groups

= (3 x^{2} + 4 x) + (- 18 x - 24)

Factor out

x

from

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

Factor out

- 6

from

- 18 x - 24 : - 6 (3 x + 4)

= x (3 x + 4) - 6 (3 x + 4)

Factor out common term

3 x + 4

= (3 x + 4) (x - 6)

∣ 2 x - 11 ∣ \geq 3

\frac{2}{3} (x - 7) = \frac{3}{4} (4 x - 5)

x (x + 2) + (x + 2)

1.4 x + 6.1 = - 7.9

\frac{4}{6 + 2}