0.5n^2+1.5n=-2

Solution for 0.5n^2+1.5n=-2 equation:

Simplifying
0.5n2 + 1.5n = -2

Reorder the terms:
1.5n + 0.5n2 = -2

Solving
1.5n + 0.5n2 = -2

Solving for variable 'n'.

Reorder the terms:
2 + 1.5n + 0.5n2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 1.5n + 0.5n2 = 0

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

Divide each side by '0.5'.
4 + 3n + n2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 3n + -4 + n2 = 0 + -4

Reorder the terms:
4 + -4 + 3n + n2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3n + n2 = 0 + -4
3n + n2 = 0 + -4

Combine like terms: 0 + -4 = -4
3n + n2 = -4

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 = -4 + 2.25

Reorder the terms:
2.25 + 3n + n2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + 3n + n2 = -1.75

Factor a perfect square on the left side:
(n + 1.5)(n + 1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.