(x-2)(x-2)=64

Solution for (x-2)(x-2)=64 equation:

Simplifying
(x + -2)(x + -2) = 64

Reorder the terms:
(-2 + x)(x + -2) = 64

Reorder the terms:
(-2 + x)(-2 + x) = 64

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x)) = 64
((-2 * -2 + x * -2) + x(-2 + x)) = 64
((4 + -2x) + x(-2 + x)) = 64
(4 + -2x + (-2 * x + x * x)) = 64
(4 + -2x + (-2x + x2)) = 64

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2) = 64

Solving
4 + -4x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
4 + -64 + -4x + x2 = 64 + -64

Combine like terms: 4 + -64 = -60
-60 + -4x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-60 + -4x + x2 = 0

Factor a trinomial.
(-6 + -1x)(10 + -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 '(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 = {-6, 10}