What is factor 5x^2+14x-24 ?

The solution to factor 5x^2+14x-24 is (5x-6)(x+4)

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factor 5x^2+14x-24

factor

5 x^{2} + 14 x - 24

(5 x - 6) (x + 4)

Solution steps

5 x^{2} + 14 x - 24

Break the expression into groups

= (5 x^{2} - 6 x) + (20 x - 24)

Factor out

x

from

5 x^{2} - 6 x : x (5 x - 6)

Factor out

4

from

20 x - 24 : 4 (5 x - 6)

= x (5 x - 6) + 4 (5 x - 6)

Factor out common term

5 x - 6

= (5 x - 6) (x + 4)

x - 3 \leq 14

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

5 \cdot 30

3 (x + 8) = 6 (x - 6)

8 (\frac{1}{11})