2x(3x-6y)=0

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Solution for 2x(3x-6y)=0 equation: 


Simplifying
2x(3x + -6y) = 0
(3x * 2x + -6y * 2x) = 0

Reorder the terms:
(-12xy + 6x2) = 0
(-12xy + 6x2) = 0

Solving
-12xy + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-2y + x) = 0

Ignore the factor 6.

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 '(-2y + x)' equal to zero and attempt to solve:

Simplifying
-2y + x = 0

Reorder the terms:
x + -2y = 0

Solving
x + -2y = 0

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

Add '2y' to each side of the equation.
x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
x + 0 = 0 + 2y
x = 0 + 2y
Remove the zero:
x = 2y

Simplifying
x = 2y
Solution
x = {0, 2y}

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