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)

\frac{1}{3} + \frac{2}{3} - \frac{1}{6}

(10 n)^{\frac{3}{5}}

2^{x} < 8

2 (1)

5. 1^{2}