n^2-2n+1=144

Solution for n^2-2n+1=144 equation:

Simplifying
n2 + -2n + 1 = 144

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

Solving
1 + -2n + n2 = 144

Solving for variable 'n'.

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

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

Combine like terms: 144 + -144 = 0
-143 + -2n + n2 = 0

Factor a trinomial.
(-11 + -1n)(13 + -1n) = 0

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

Simplifying
-11 + -1n = 0

Solving
-11 + -1n = 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 + -1n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1n = 0 + 11
-1n = 0 + 11

Combine like terms: 0 + 11 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11
Subproblem 2
Set the factor '(13 + -1n)' equal to zero and attempt to solve:

Simplifying
13 + -1n = 0

Solving
13 + -1n = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1n = 0 + -13
-1n = 0 + -13

Combine like terms: 0 + -13 = -13
-1n = -13

Divide each side by '-1'.
n = 13

Simplifying
n = 13
Solution
n = {-11, 13}