2n^2-4n+288=

Solution for 2n^2-4n+288= equation:

Simplifying
2n2 + -4n + 288 = 0

Reorder the terms:
288 + -4n + 2n2 = 0

Solving
288 + -4n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(144 + -2n + n2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(144 + -2n + n2)' equal to zero and attempt to solve:

Simplifying
144 + -2n + n2 = 0

Solving
144 + -2n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-144' to each side of the equation.
144 + -2n + -144 + n2 = 0 + -144

Reorder the terms:
144 + -144 + -2n + n2 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + -2n + n2 = 0 + -144
-2n + n2 = 0 + -144

Combine like terms: 0 + -144 = -144
-2n + n2 = -144

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 = -144 + 1

Reorder the terms:
1 + -2n + n2 = -144 + 1

Combine like terms: -144 + 1 = -143
1 + -2n + n2 = -143

Factor a perfect square on the left side:
(n + -1)(n + -1) = -143

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.