x^2-10x+25=121

Solution for x^2-10x+25=121 equation:

Simplifying
x2 + -10x + 25 = 121

Reorder the terms:
25 + -10x + x2 = 121

Solving
25 + -10x + x2 = 121

Solving for variable 'x'.

Reorder the terms:
25 + -121 + -10x + x2 = 121 + -121

Combine like terms: 25 + -121 = -96
-96 + -10x + x2 = 121 + -121

Combine like terms: 121 + -121 = 0
-96 + -10x + x2 = 0

Factor a trinomial.
(-6 + -1x)(16 + -1x) = 0

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-6, 16}