What is factor 9x^2+21x+10 ?

The solution to factor 9x^2+21x+10 is (3x+2)(3x+5)

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factor 9x^2+21x+10

factor

9 x^{2} + 21 x + 10

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

Solution steps

9 x^{2} + 21 x + 10

Break the expression into groups

= (9 x^{2} + 6 x) + (15 x + 10)

Factor out

3 x

from

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

Factor out

5

from

15 x + 10 : 5 (3 x + 2)

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

Factor out common term

3 x + 2

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

x (9 x + 1) + (9 x + 1)

∣ x ∣ + 2 = 0

\frac{x - 3}{5} = \frac{x + 1}{3} - 2

4 x^{2} - 6 x - 4 = 0

\frac{3}{4} \cdot 20