What is factor 6x^2+13x+5 ?

The solution to factor 6x^2+13x+5 is (2x+1)(3x+5)

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factor 6x^2+13x+5

factor

6 x^{2} + 13 x + 5

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

Solution steps

6 x^{2} + 13 x + 5

Break the expression into groups

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

Factor out

3 x

from

6 x^{2} + 3 x : 3 x (2 x + 1)

Factor out

5

from

10 x + 5 : 5 (2 x + 1)

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

Factor out common term

2 x + 1

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

\frac{x ^{2}}{4} < 1

∣ a ∣ = 3

\frac{x - 1}{x + 5} \leq 0

\frac{x}{5} = 1 + \frac{x + 4}{2}

4 x^{2} + 8 x - 1 = 0