2n^2+25n+11=2n

Solution for 2n^2+25n+11=2n equation:

Simplifying
2n2 + 25n + 11 = 2n

Reorder the terms:
11 + 25n + 2n2 = 2n

Solving
11 + 25n + 2n2 = 2n

Solving for variable 'n'.

Reorder the terms:
11 + 25n + -2n + 2n2 = 2n + -2n

Combine like terms: 25n + -2n = 23n
11 + 23n + 2n2 = 2n + -2n

Combine like terms: 2n + -2n = 0
11 + 23n + 2n2 = 0

Factor a trinomial.
(11 + n)(1 + 2n) = 0

Subproblem 1
Set the factor '(11 + n)' equal to zero and attempt to solve:

Simplifying
11 + n = 0

Solving
11 + n = 0

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

Add '-11' to each side of the equation.
11 + -11 + n = 0 + -11

Combine like terms: 11 + -11 = 0
0 + n = 0 + -11
n = 0 + -11

Combine like terms: 0 + -11 = -11
n = -11

Simplifying
n = -11
Subproblem 2
Set the factor '(1 + 2n)' equal to zero and attempt to solve:

Simplifying
1 + 2n = 0

Solving
1 + 2n = 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 + 2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = 0 + -1
2n = 0 + -1

Combine like terms: 0 + -1 = -1
2n = -1

Divide each side by '2'.
n = -0.5

Simplifying
n = -0.5
Solution
n = {-11, -0.5}