(x-1)(x-1)=64

Solution for (x-1)(x-1)=64 equation:

Simplifying
(x + -1)(x + -1) = 64

Reorder the terms:
(-1 + x)(x + -1) = 64

Reorder the terms:
(-1 + x)(-1 + x) = 64

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = 64
((-1 * -1 + x * -1) + x(-1 + x)) = 64
((1 + -1x) + x(-1 + x)) = 64
(1 + -1x + (-1 * x + x * x)) = 64
(1 + -1x + (-1x + x2)) = 64

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) = 64

Solving
1 + -2x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
1 + -64 + -2x + x2 = 64 + -64

Combine like terms: 1 + -64 = -63
-63 + -2x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-63 + -2x + x2 = 0

Factor a trinomial.
(-7 + -1x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-7, 9}