What is factor 10a^2-13a-3 ?

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

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factor 10a^2-13a-3

factor

10 a^{2} - 13 a - 3

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

Solution steps

10 a^{2} - 13 a - 3

Break the expression into groups

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

Factor out

2 a

from

10 a^{2} + 2 a : 2 a (5 a + 1)

Factor out

- 3

from

- 15 a - 3 : - 3 (5 a + 1)

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

Factor out common term

5 a + 1

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

3 x^{2} = 4 x - 9

2 x + 10 = 28

\frac{4}{3} + (\frac{5}{3})^{2}

5 + y = 7

8 x = 5 + 5 x^{2}