(x-1)(x-1)=36

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Solution for (x-1)(x-1)=36 equation: 


Simplifying
(x + -1)(x + -1) = 36

Reorder the terms:
(-1 + x)(x + -1) = 36

Reorder the terms:
(-1 + x)(-1 + x) = 36

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = 36
((-1 * -1 + x * -1) + x(-1 + x)) = 36
((1 + -1x) + x(-1 + x)) = 36
(1 + -1x + (-1 * x + x * x)) = 36
(1 + -1x + (-1x + x2)) = 36

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) = 36

Solving
1 + -2x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
1 + -36 + -2x + x2 = 36 + -36

Combine like terms: 1 + -36 = -35
-35 + -2x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-35 + -2x + x2 = 0

Factor a trinomial.
(-5 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
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
Solution
x = {-5, 7}

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