What is factor 3x^2+16x+5 ?

The solution to factor 3x^2+16x+5 is (3x+1)(x+5)

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factor 3x^2+16x+5

factor

3 x^{2} + 16 x + 5

(3 x + 1) (x + 5)

Solution steps

3 x^{2} + 16 x + 5

Break the expression into groups

= (3 x^{2} + x) + (15 x + 5)

Factor out

x

from

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

Factor out

5

from

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

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

Factor out common term

3 x + 1

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

x^{2} - 225 = 0

- 6 x^{2} + 3 x + 13 = - 2 x^{2}

(\frac{- 3}{2})^{2}

13 x + 26 = 234

\frac{6 x ^{2} - x - 1}{4 x - 2}