x^2-20x+101=1

Solution for x^2-20x+101=1 equation:

Simplifying
x2 + -20x + 101 = 1

Reorder the terms:
101 + -20x + x2 = 1

Solving
101 + -20x + x2 = 1

Solving for variable 'x'.

Reorder the terms:
101 + -1 + -20x + x2 = 1 + -1

Combine like terms: 101 + -1 = 100
100 + -20x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
100 + -20x + x2 = 0

Factor a trinomial.
(10 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {10, 10}