What is factor 4x^2+25x+6 ?

The solution to factor 4x^2+25x+6 is (4x+1)(x+6)

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factor 4x^2+25x+6

factor

4 x^{2} + 25 x + 6

(4 x + 1) (x + 6)

Solution steps

4 x^{2} + 25 x + 6

Break the expression into groups

= (4 x^{2} + x) + (24 x + 6)

Factor out

x

from

4 x^{2} + x : x (4 x + 1)

Factor out

6

from

24 x + 6 : 6 (4 x + 1)

= x (4 x + 1) + 6 (4 x + 1)

Factor out common term

4 x + 1

= (4 x + 1) (x + 6)

\frac{2}{5} \cdot 10 + 3 \cdot 6 - 6

\frac{1}{2} \cdot \frac{3}{5}

2 x - 6 = - 10

4 x (x + 1) = 15

x^{2} = 7 x + 30