What is factor 5x^2-3x-14 ?

The solution to factor 5x^2-3x-14 is (5x+7)(x-2)

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factor 5x^2-3x-14

factor

5 x^{2} - 3 x - 14

(5 x + 7) (x - 2)

Solution steps

5 x^{2} - 3 x - 14

Break the expression into groups

= (5 x^{2} + 7 x) + (- 10 x - 14)

Factor out

x

from

5 x^{2} + 7 x : x (5 x + 7)

Factor out

- 2

from

- 10 x - 14 : - 2 (5 x + 7)

= x (5 x + 7) - 2 (5 x + 7)

Factor out common term

5 x + 7

= (5 x + 7) (x - 2)

\frac{1}{3} + \frac{1}{15}

\frac{3 ( 5 - c )}{2} = - \frac{2 ( 2 c + 7 )}{3}

- 8 (x + 3) > 2 (x + 4)

a^{2} + 6 a - b^{2} + 6 b

\frac{x}{5} + \frac{x}{7} = \frac{7}{10}