n^2+3=-3n

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

Simplifying
n2 + 3 = -3n

Reorder the terms:
3 + n2 = -3n

Solving
3 + n2 = -3n

Solving for variable 'n'.

Reorder the terms:
3 + 3n + n2 = -3n + 3n

Combine like terms: -3n + 3n = 0
3 + 3n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 3n + -3 + n2 = 0 + -3

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

Combine like terms: 3 + -3 = 0
0 + 3n + n2 = 0 + -3
3n + n2 = 0 + -3

Combine like terms: 0 + -3 = -3
3n + n2 = -3

The n term is 3n.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3n + 2.25 + n2 = -3 + 2.25

Reorder the terms:
2.25 + 3n + n2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + 3n + n2 = -0.75

Factor a perfect square on the left side:
(n + 1.5)(n + 1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.