(x-6)*(x-6)=4

Solution for (x-6)*(x-6)=4 equation:

Simplifying
(x + -6)(x + -6) = 4

Reorder the terms:
(-6 + x)(x + -6) = 4

Reorder the terms:
(-6 + x)(-6 + x) = 4

Multiply (-6 + x) * (-6 + x)
(-6(-6 + x) + x(-6 + x)) = 4
((-6 * -6 + x * -6) + x(-6 + x)) = 4
((36 + -6x) + x(-6 + x)) = 4
(36 + -6x + (-6 * x + x * x)) = 4
(36 + -6x + (-6x + x2)) = 4

Combine like terms: -6x + -6x = -12x
(36 + -12x + x2) = 4

Solving
36 + -12x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
36 + -4 + -12x + x2 = 4 + -4

Combine like terms: 36 + -4 = 32
32 + -12x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
32 + -12x + x2 = 0

Factor a trinomial.
(4 + -1x)(8 + -1x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {4, 8}