-10n^2-3n-9=-2n

Solution for -10n^2-3n-9=-2n equation:

Simplifying
-10n2 + -3n + -9 = -2n

Reorder the terms:
-9 + -3n + -10n2 = -2n

Solving
-9 + -3n + -10n2 = -2n

Solving for variable 'n'.

Reorder the terms:
-9 + -3n + 2n + -10n2 = -2n + 2n

Combine like terms: -3n + 2n = -1n
-9 + -1n + -10n2 = -2n + 2n

Combine like terms: -2n + 2n = 0
-9 + -1n + -10n2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(9 + n + 10n2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(9 + n + 10n2)' equal to zero and attempt to solve:

Simplifying
9 + n + 10n2 = 0

Solving
9 + n + 10n2 = 0

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

Divide each side by '10'.
0.9 + 0.1n + n2 = 0.0

Move the constant term to the right:

Add '-0.9' to each side of the equation.
0.9 + 0.1n + -0.9 + n2 = 0.0 + -0.9

Reorder the terms:
0.9 + -0.9 + 0.1n + n2 = 0.0 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.1n + n2 = 0.0 + -0.9
0.1n + n2 = 0.0 + -0.9

Combine like terms: 0.0 + -0.9 = -0.9
0.1n + n2 = -0.9

The n term is n.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.1n + 0.25 + n2 = -0.9 + 0.25

Reorder the terms:
0.25 + 0.1n + n2 = -0.9 + 0.25

Combine like terms: -0.9 + 0.25 = -0.65
0.25 + 0.1n + n2 = -0.65

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -0.65

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.