What is factor 5n^2+12n+7 ?

The solution to factor 5n^2+12n+7 is (n+1)(5n+7)

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factor 5n^2+12n+7

factor

5 n^{2} + 12 n + 7

(n + 1) (5 n + 7)

Solution steps

5 n^{2} + 12 n + 7

Break the expression into groups

= (5 n^{2} + 5 n) + (7 n + 7)

Factor out

5 n

from

5 n^{2} + 5 n : 5 n (n + 1)

Factor out

7

from

7 n + 7 : 7 (n + 1)

= 5 n (n + 1) + 7 (n + 1)

Factor out common term

n + 1

= (n + 1) (5 n + 7)

\frac{5 x}{x - 5} < 1

81 m^{2} - 36

\frac{3 x + 8}{x - 4} \geq 0

3 x - 5 = 7 x + 11

x^{2} = 72 - x