5n^2+13n+4-7n+9=

Solution for 5n^2+13n+4-7n+9= equation:

Simplifying
5n2 + 13n + 4 + -7n + 9 = 0

Reorder the terms:
4 + 9 + 13n + -7n + 5n2 = 0

Combine like terms: 4 + 9 = 13
13 + 13n + -7n + 5n2 = 0

Combine like terms: 13n + -7n = 6n
13 + 6n + 5n2 = 0

Solving
13 + 6n + 5n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
2.6 + 1.2n + n2 = 0

Move the constant term to the right:

Add '-2.6' to each side of the equation.
2.6 + 1.2n + -2.6 + n2 = 0 + -2.6

Reorder the terms:
2.6 + -2.6 + 1.2n + n2 = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + 1.2n + n2 = 0 + -2.6
1.2n + n2 = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
1.2n + n2 = -2.6

The n term is 1.2n.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2n + 0.36 + n2 = -2.6 + 0.36

Reorder the terms:
0.36 + 1.2n + n2 = -2.6 + 0.36

Combine like terms: -2.6 + 0.36 = -2.24
0.36 + 1.2n + n2 = -2.24

Factor a perfect square on the left side:
(n + 0.6)(n + 0.6) = -2.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.