4-2N-2N^2=0

Solution for 4-2N-2N^2=0 equation:

Simplifying
4 + -2N + -2N2 = 0

Solving
4 + -2N + -2N2 = 0

Solving for variable 'N'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -1N + -1N2) = 0

Factor a trinomial.
2((1 + -1N)(2 + N)) = 0

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

Simplifying
1 + -1N = 0

Solving
1 + -1N = 0

Move all terms containing N to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1N = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1N = 0 + -1
-1N = 0 + -1

Combine like terms: 0 + -1 = -1
-1N = -1

Divide each side by '-1'.
N = 1

Simplifying
N = 1
Subproblem 2
Set the factor '(2 + N)' equal to zero and attempt to solve:

Simplifying
2 + N = 0

Solving
2 + N = 0

Move all terms containing N to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + N = 0 + -2

Combine like terms: 2 + -2 = 0
0 + N = 0 + -2
N = 0 + -2

Combine like terms: 0 + -2 = -2
N = -2

Simplifying
N = -2
Solution
N = {1, -2}