What is factor 5x^2+28x+15 ?

The solution to factor 5x^2+28x+15 is (5x+3)(x+5)

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factor 5x^2+28x+15

factor

5 x^{2} + 28 x + 15

(5 x + 3) (x + 5)

Solution steps

5 x^{2} + 28 x + 15

Break the expression into groups

= (5 x^{2} + 3 x) + (25 x + 15)

Factor out

x

from

5 x^{2} + 3 x : x (5 x + 3)

Factor out

5

from

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

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

Factor out common term

5 x + 3

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

36 x^{2} - 21 = 0

2 x^{2} - 7 x + 3 > 0

u 1 + x^{2} + 1 - (ux)^{2}

x^{2} - 5 x - 126

3 x^{2} - 1 x = 1 x + 8