-18+3n=3n^2

Solution for -18+3n=3n^2 equation:

Simplifying
-18 + 3n = 3n2

Solving
-18 + 3n = 3n2

Solving for variable 'n'.

Combine like terms: 3n2 + -3n2 = 0
-18 + 3n + -3n2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + n + -1n2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-6 + n + -1n2)' equal to zero and attempt to solve:

Simplifying
-6 + n + -1n2 = 0

Solving
-6 + n + -1n2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6 + -1n + n2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1n + -6 + n2 = 0 + -6

Reorder the terms:
6 + -6 + -1n + n2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1n + n2 = 0 + -6
-1n + n2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1n + n2 = -6

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.
-1n + 0.25 + n2 = -6 + 0.25

Reorder the terms:
0.25 + -1n + n2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + -1n + n2 = -5.75

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -5.75

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.