What is factor 5x^2+36x+36 ?

The solution to factor 5x^2+36x+36 is (5x+6)(x+6)

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factor 5x^2+36x+36

factor

5 x^{2} + 36 x + 36

(5 x + 6) (x + 6)

Solution steps

5 x^{2} + 36 x + 36

Break the expression into groups

= (5 x^{2} + 6 x) + (30 x + 36)

Factor out

x

from

5 x^{2} + 6 x : x (5 x + 6)

Factor out

6

from

30 x + 36 : 6 (5 x + 6)

= x (5 x + 6) + 6 (5 x + 6)

Factor out common term

5 x + 6

= (5 x + 6) (x + 6)

\frac{8}{3} \div 6

8 \times 3

9 \times 9

(x + 3) (3 x^{2} + 7 x - 5)

- 5 \cdot (- 5)