(x-1)(x-1)=49

Solution for (x-1)(x-1)=49 equation:

Simplifying
(x + -1)(x + -1) = 49

Reorder the terms:
(-1 + x)(x + -1) = 49

Reorder the terms:
(-1 + x)(-1 + x) = 49

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = 49
((-1 * -1 + x * -1) + x(-1 + x)) = 49
((1 + -1x) + x(-1 + x)) = 49
(1 + -1x + (-1 * x + x * x)) = 49
(1 + -1x + (-1x + x2)) = 49

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) = 49

Solving
1 + -2x + x2 = 49

Solving for variable 'x'.

Reorder the terms:
1 + -49 + -2x + x2 = 49 + -49

Combine like terms: 1 + -49 = -48
-48 + -2x + x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-48 + -2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(8 + -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 '(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 = {-6, 8}