x^2-12x+36=36

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Solution for x^2-12x+36=36 equation: 


Simplifying
x2 + -12x + 36 = 36

Reorder the terms:
36 + -12x + x2 = 36

Add '-36' to each side of the equation.
36 + -12x + -36 + x2 = 36 + -36

Reorder the terms:
36 + -36 + -12x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
0 + -12x + x2 = 36 + -36
-12x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-12x + x2 = 0

Solving
-12x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Simplifying
x = 12
Solution
x = {0, 12}

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