(3x)(6y-4x+7y)=

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Solution for (3x)(6y-4x+7y)= equation: 


Simplifying
(3x)(6y + -4x + 7y) = 0

Remove parenthesis around (3x)
3x(6y + -4x + 7y) = 0

Reorder the terms:
3x(-4x + 6y + 7y) = 0

Combine like terms: 6y + 7y = 13y
3x(-4x + 13y) = 0
(-4x * 3x + 13y * 3x) = 0

Reorder the terms:
(39xy + -12x2) = 0
(39xy + -12x2) = 0

Solving
39xy + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(13y + -4x) = 0

Ignore the factor 3.

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 '(13y + -4x)' equal to zero and attempt to solve:

Simplifying
13y + -4x = 0

Reorder the terms:
-4x + 13y = 0

Solving
-4x + 13y = 0

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

Add '-13y' to each side of the equation.
-4x + 13y + -13y = 0 + -13y

Combine like terms: 13y + -13y = 0
-4x + 0 = 0 + -13y
-4x = 0 + -13y
Remove the zero:
-4x = -13y

Divide each side by '-4'.
x = 3.25y

Simplifying
x = 3.25y
Solution
x = {0, 3.25y}

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