6x(6y-6x)=0

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Solution for 6x(6y-6x)=0 equation: 


Simplifying
6x(6y + -6x) = 0

Reorder the terms:
6x(-6x + 6y) = 0
(-6x * 6x + 6y * 6x) = 0

Reorder the terms:
(36xy + -36x2) = 0
(36xy + -36x2) = 0

Solving
36xy + -36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36x'.
36x(y + -1x) = 0

Ignore the factor 36.

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 '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

Combine like terms: y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

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

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

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