4x(y-3x)=

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Solution for 4x(y-3x)= equation: 


Simplifying
4x(y + -3x) = 0

Reorder the terms:
4x(-3x + y) = 0
(-3x * 4x + y * 4x) = 0

Reorder the terms:
(4xy + -12x2) = 0
(4xy + -12x2) = 0

Solving
4xy + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(y + -3x) = 0

Ignore the factor 4.

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 + -3x)' equal to zero and attempt to solve:

Simplifying
y + -3x = 0

Reorder the terms:
-3x + y = 0

Solving
-3x + y = 0

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

Add '-1y' to each side of the equation.
-3x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-3x + 0 = 0 + -1y
-3x = 0 + -1y
Remove the zero:
-3x = -1y

Divide each side by '-3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y
Solution
x = {0, 0.3333333333y}

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