5n+15+n^2-3n=

Solution for 5n+15+n^2-3n= equation:

Simplifying
5n + 15 + n2 + -3n = 0

Reorder the terms:
15 + 5n + -3n + n2 = 0

Combine like terms: 5n + -3n = 2n
15 + 2n + n2 = 0

Solving
15 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 2n + -15 + n2 = 0 + -15

Reorder the terms:
15 + -15 + 2n + n2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2n + n2 = 0 + -15
2n + n2 = 0 + -15

Combine like terms: 0 + -15 = -15
2n + n2 = -15

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = -15 + 1

Reorder the terms:
1 + 2n + n2 = -15 + 1

Combine like terms: -15 + 1 = -14
1 + 2n + n2 = -14

Factor a perfect square on the left side:
(n + 1)(n + 1) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.