2n^2-4n=1150

Solution for 2n^2-4n=1150 equation:

Simplifying
2n2 + -4n = 1150

Reorder the terms:
-4n + 2n2 = 1150

Solving
-4n + 2n2 = 1150

Solving for variable 'n'.

Reorder the terms:
-1150 + -4n + 2n2 = 1150 + -1150

Combine like terms: 1150 + -1150 = 0
-1150 + -4n + 2n2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-575 + -2n + n2) = 0

Factor a trinomial.
2((-23 + -1n)(25 + -1n)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-23 + -1n)' equal to zero and attempt to solve:

Simplifying
-23 + -1n = 0

Solving
-23 + -1n = 0

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

Add '23' to each side of the equation.
-23 + 23 + -1n = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -1n = 0 + 23
-1n = 0 + 23

Combine like terms: 0 + 23 = 23
-1n = 23

Divide each side by '-1'.
n = -23

Simplifying
n = -23
Subproblem 2
Set the factor '(25 + -1n)' equal to zero and attempt to solve:

Simplifying
25 + -1n = 0

Solving
25 + -1n = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1n = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1n = 0 + -25
-1n = 0 + -25

Combine like terms: 0 + -25 = -25
-1n = -25

Divide each side by '-1'.
n = 25

Simplifying
n = 25
Solution
n = {-23, 25}