n^2-2n+75=0

Solution for n^2-2n+75=0 equation:

Simplifying
n2 + -2n + 75 = 0

Reorder the terms:
75 + -2n + n2 = 0

Solving
75 + -2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-75' to each side of the equation.
75 + -2n + -75 + n2 = 0 + -75

Reorder the terms:
75 + -75 + -2n + n2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -2n + n2 = 0 + -75
-2n + n2 = 0 + -75

Combine like terms: 0 + -75 = -75
-2n + n2 = -75

The n term is -2n.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2n + 1 + n2 = -75 + 1

Reorder the terms:
1 + -2n + n2 = -75 + 1

Combine like terms: -75 + 1 = -74
1 + -2n + n2 = -74

Factor a perfect square on the left side:
(n + -1)(n + -1) = -74

Can't calculate square root of the right side.

The solution to this equation could not be determined.