(x-6)(x-6)=25

Solution for (x-6)(x-6)=25 equation:

Simplifying
(x + -6)(x + -6) = 25

Reorder the terms:
(-6 + x)(x + -6) = 25

Reorder the terms:
(-6 + x)(-6 + x) = 25

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = 25
((-6 * -6 + x * -6) + x(-6 + x)) = 25
((36 + -6x) + x(-6 + x)) = 25
(36 + -6x + (-6 * x + x * x)) = 25
(36 + -6x + (-6x + x2)) = 25

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = 25

Solving
36 + -12x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
36 + -25 + -12x + x2 = 25 + -25

Combine like terms: 36 + -25 = 11
11 + -12x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
11 + -12x + x2 = 0

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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

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

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

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

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

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

Simplifying
x = 11
Solution
x = {1, 11}