What is factor 5x^2+27x+10 ?

The solution to factor 5x^2+27x+10 is (5x+2)(x+5)

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factor 5x^2+27x+10

factor

5 x^{2} + 27 x + 10

(5 x + 2) (x + 5)

Solution steps

5 x^{2} + 27 x + 10

Break the expression into groups

= (5 x^{2} + 2 x) + (25 x + 10)

Factor out

x

from

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

Factor out

5

from

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

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

Factor out common term

5 x + 2

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

3 x^{2} + 3 x - 10 x - 10

2 (a + 1) = 6

∣ x ∣ < \infty

4 x^{2} - 6 x + 9 < 0

(2 x - 5)^{2}