6x(3x-4y)=

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Solution for 6x(3x-4y)= equation: 


Simplifying
6x(3x + -4y) = 0
(3x * 6x + -4y * 6x) = 0

Reorder the terms:
(-24xy + 18x2) = 0
(-24xy + 18x2) = 0

Solving
-24xy + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-4y + 3x) = 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 '(-4y + 3x)' equal to zero and attempt to solve:

Simplifying
-4y + 3x = 0

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

Solving
3x + -4y = 0

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

Add '4y' to each side of the equation.
3x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 0 + 4y
3x = 0 + 4y
Remove the zero:
3x = 4y

Divide each side by '3'.
x = 1.333333333y

Simplifying
x = 1.333333333y
Solution
x = {0, 1.333333333y}

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