6x(2x-3y)=

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


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

Reorder the terms:
(-18xy + 12x2) = 0
(-18xy + 12x2) = 0

Solving
-18xy + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-3y + 2x) = 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 '(-3y + 2x)' equal to zero and attempt to solve:

Simplifying
-3y + 2x = 0

Reorder the terms:
2x + -3y = 0

Solving
2x + -3y = 0

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

Add '3y' to each side of the equation.
2x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 = 0 + 3y
2x = 0 + 3y
Remove the zero:
2x = 3y

Divide each side by '2'.
x = 1.5y

Simplifying
x = 1.5y
Solution
x = {0, 1.5y}

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