What is factor 10x^2+13x-3 ?

The solution to factor 10x^2+13x-3 is (5x-1)(2x+3)

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factor 10x^2+13x-3

factor

10 x^{2} + 13 x - 3

(5 x - 1) (2 x + 3)

Solution steps

10 x^{2} + 13 x - 3

Break the expression into groups

= (10 x^{2} - 2 x) + (15 x - 3)

Factor out

2 x

from

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

Factor out

3

from

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

= 2 x (5 x - 1) + 3 (5 x - 1)

Factor out common term

5 x - 1

= (5 x - 1) (2 x + 3)

4 x^{2} - 5 x - 6 < 0

- 1020

- 29.5 = - 23.23 x + \frac{1}{2} (- 9.8) x^{2}

124

x - 8 > 0