3(x+y)-12z^2(x+y)=

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Solution for 3(x+y)-12z^2(x+y)= equation: 


Simplifying
3(x + y) + -12z2(x + y) = 0
(x * 3 + y * 3) + -12z2(x + y) = 0
(3x + 3y) + -12z2(x + y) = 0
3x + 3y + (x * -12z2 + y * -12z2) = 0
3x + 3y + (-12xz2 + -12yz2) = 0

Reorder the terms:
3x + -12xz2 + 3y + -12yz2 = 0

Solving
3x + -12xz2 + 3y + -12yz2 = 0

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
3x + -12xz2 + 3y + -3y + -12yz2 = 0 + -3y

Combine like terms: 3y + -3y = 0
3x + -12xz2 + 0 + -12yz2 = 0 + -3y
3x + -12xz2 + -12yz2 = 0 + -3y
Remove the zero:
3x + -12xz2 + -12yz2 = -3y

Add '12yz2' to each side of the equation.
3x + -12xz2 + -12yz2 + 12yz2 = -3y + 12yz2

Combine like terms: -12yz2 + 12yz2 = 0
3x + -12xz2 + 0 = -3y + 12yz2
3x + -12xz2 = -3y + 12yz2

Reorder the terms:
3x + -12xz2 + 3y + -12yz2 = -3y + 3y + 12yz2 + -12yz2

Combine like terms: -3y + 3y = 0
3x + -12xz2 + 3y + -12yz2 = 0 + 12yz2 + -12yz2
3x + -12xz2 + 3y + -12yz2 = 12yz2 + -12yz2

Combine like terms: 12yz2 + -12yz2 = 0
3x + -12xz2 + 3y + -12yz2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(x + -4xz2 + y + -4yz2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(x + -4xz2 + y + -4yz2)' equal to zero and attempt to solve:

Simplifying
x + -4xz2 + y + -4yz2 = 0

Solving
x + -4xz2 + y + -4yz2 = 0

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

Add '-1y' to each side of the equation.
x + -4xz2 + y + -1y + -4yz2 = 0 + -1y

Combine like terms: y + -1y = 0
x + -4xz2 + 0 + -4yz2 = 0 + -1y
x + -4xz2 + -4yz2 = 0 + -1y
Remove the zero:
x + -4xz2 + -4yz2 = -1y

Add '4yz2' to each side of the equation.
x + -4xz2 + -4yz2 + 4yz2 = -1y + 4yz2

Combine like terms: -4yz2 + 4yz2 = 0
x + -4xz2 + 0 = -1y + 4yz2
x + -4xz2 = -1y + 4yz2

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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