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

The solution to factor 5x^2+14x-3 is (5x-1)(x+3)

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factor 5x^2+14x-3

factor

5 x^{2} + 14 x - 3

(5 x - 1) (x + 3)

Solution steps

5 x^{2} + 14 x - 3

Break the expression into groups

= (5 x^{2} - x) + (15 x - 3)

Factor out

x

from

5 x^{2} - x : x (5 x - 1)

Factor out

3

from

15 x - 3 : 3 (5 x - 1)

= x (5 x - 1) + 3 (5 x - 1)

Factor out common term

5 x - 1

= (5 x - 1) (x + 3)

\frac{p ^{- 6} q ^{7} r}{p ^{2} q ^{- 2}}

9 x^{2} - 6 x + 1 < 0

6 x^{2} - 5 x - 1 = 0

- \frac{14}{- 2}

9 x^{2} + 24 x = - 14