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

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

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factor 10x^2+x-3

factor

10 x^{2} + x - 3

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

Solution steps

10 x^{2} + x - 3

Break the expression into groups

= (10 x^{2} - 5 x) + (6 x - 3)

Factor out

5 x

from

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

Factor out

3

from

6 x - 3 : 3 (2 x - 1)

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

Factor out common term

2 x - 1

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

\frac{4}{\frac{1}{4}}

(7 - 16) (- 81)

3567 - 4175 + 2112

(5 x + 7 y)^{2}

(7 a^{2} - 3 a) - (5 a^{2} - 5 a)