3xy^2+12xy-96x=0

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Solution for 3xy^2+12xy-96x=0 equation: 


Simplifying
3xy2 + 12xy + -96x = 0

Reorder the terms:
-96x + 12xy + 3xy2 = 0

Solving
-96x + 12xy + 3xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-32 + 4y + y2) = 0

Factor a trinomial.
3x((-8 + -1y)(4 + -1y)) = 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 '(-8 + -1y)' equal to zero and attempt to solve:

Simplifying
-8 + -1y = 0

Solving
-8 + -1y = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1y = 0 + 8
-1y = 0 + 8

Combine like terms: 0 + 8 = 8
-1y = 8

Add 'y' to each side of the equation.
-1y + y = 8 + y

Combine like terms: -1y + y = 0
0 = 8 + y

Simplifying
0 = 8 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Add 'y' to each side of the equation.
-1y + y = -4 + y

Combine like terms: -1y + y = 0
0 = -4 + y

Simplifying
0 = -4 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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