(x-5)(x-5)=36

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Solution for (x-5)(x-5)=36 equation: 


Simplifying
(x + -5)(x + -5) = 36

Reorder the terms:
(-5 + x)(x + -5) = 36

Reorder the terms:
(-5 + x)(-5 + x) = 36

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x)) = 36
((-5 * -5 + x * -5) + x(-5 + x)) = 36
((25 + -5x) + x(-5 + x)) = 36
(25 + -5x + (-5 * x + x * x)) = 36
(25 + -5x + (-5x + x2)) = 36

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2) = 36

Solving
25 + -10x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
25 + -36 + -10x + x2 = 36 + -36

Combine like terms: 25 + -36 = -11
-11 + -10x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-11 + -10x + x2 = 0

Factor a trinomial.
(-1 + -1x)(11 + -1x) = 0


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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-1, 11}

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