x^2-2x+1=961

Solution for x^2-2x+1=961 equation:

Simplifying
x2 + -2x + 1 = 961

Reorder the terms:
1 + -2x + x2 = 961

Solving
1 + -2x + x2 = 961

Solving for variable 'x'.

Reorder the terms:
1 + -961 + -2x + x2 = 961 + -961

Combine like terms: 1 + -961 = -960
-960 + -2x + x2 = 961 + -961

Combine like terms: 961 + -961 = 0
-960 + -2x + x2 = 0

Factor a trinomial.
(-30 + -1x)(32 + -1x) = 0

Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
Set the factor '(32 + -1x)' equal to zero and attempt to solve:

Simplifying
32 + -1x = 0

Solving
32 + -1x = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 0 + -32
-1x = 0 + -32

Combine like terms: 0 + -32 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32
Solution
x = {-30, 32}