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

The solution to factor 24x^2+14x-5 is (4x-1)(6x+5)

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factor 24x^2+14x-5

factor

24 x^{2} + 14 x - 5

(4 x - 1) (6 x + 5)

Solution steps

24 x^{2} + 14 x - 5

Break the expression into groups

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

Factor out

6 x

from

24 x^{2} - 6 x : 6 x (4 x - 1)

Factor out

5

from

20 x - 5 : 5 (4 x - 1)

= 6 x (4 x - 1) + 5 (4 x - 1)

Factor out common term

4 x - 1

= (4 x - 1) (6 x + 5)

- 3 x^{2} - 3 x - 12 = 0

x^{3} + 9 x^{2} + 27 x + 27

\frac{x ^{2} - 2 x y + y ^{2}}{x - y}

\frac{x}{5} - \frac{x}{2} = 3

1 5^{2}