880=2n^2-4n

Solution for 880=2n^2-4n equation:

Simplifying
880 = 2n2 + -4n

Reorder the terms:
880 = -4n + 2n2

Solving
880 = -4n + 2n2

Solving for variable 'n'.

Reorder the terms:
880 + 4n + -2n2 = -4n + 4n + 2n2 + -2n2

Combine like terms: -4n + 4n = 0
880 + 4n + -2n2 = 0 + 2n2 + -2n2
880 + 4n + -2n2 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
880 + 4n + -2n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(440 + 2n + -1n2) = 0

Factor a trinomial.
2((22 + -1n)(20 + n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(22 + -1n)' equal to zero and attempt to solve:

Simplifying
22 + -1n = 0

Solving
22 + -1n = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1n = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 0 + -22
-1n = 0 + -22

Combine like terms: 0 + -22 = -22
-1n = -22

Divide each side by '-1'.
n = 22

Simplifying
n = 22
Subproblem 2
Set the factor '(20 + n)' equal to zero and attempt to solve:

Simplifying
20 + n = 0

Solving
20 + n = 0

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

Add '-20' to each side of the equation.
20 + -20 + n = 0 + -20

Combine like terms: 20 + -20 = 0
0 + n = 0 + -20
n = 0 + -20

Combine like terms: 0 + -20 = -20
n = -20

Simplifying
n = -20
Solution
n = {22, -20}