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)

(- 32)^{- \frac{1}{5}}

\frac{x - 4}{2} = 3

\frac{2}{3} (\frac{2}{3})

\frac{x}{3} + \frac{x ^{2}}{4} = \frac{5 x}{6}

x^{6} + 2 x^{3} - 3