3x+4xy-(4x-xy+xyz)=

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Solution for 3x+4xy-(4x-xy+xyz)= equation: 


Simplifying
3x + 4xy + -1(4x + -1xy + xyz) = 0
3x + 4xy + (4x * -1 + -1xy * -1 + xyz * -1) = 0
3x + 4xy + (-4x + 1xy + -1xyz) = 0

Reorder the terms:
3x + -4x + 4xy + 1xy + -1xyz = 0

Combine like terms: 3x + -4x = -1x
-1x + 4xy + 1xy + -1xyz = 0

Combine like terms: 4xy + 1xy = 5xy
-1x + 5xy + -1xyz = 0

Solving
-1x + 5xy + -1xyz = 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), 'x'.
x(-1 + 5y + -1yz) = 0


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 '(-1 + 5y + -1yz)' equal to zero and attempt to solve:

Simplifying
-1 + 5y + -1yz = 0

Solving
-1 + 5y + -1yz = 0

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

Add '1' to each side of the equation.
-1 + 5y + 1 + -1yz = 0 + 1

Reorder the terms:
-1 + 1 + 5y + -1yz = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5y + -1yz = 0 + 1
5y + -1yz = 0 + 1

Combine like terms: 0 + 1 = 1
5y + -1yz = 1

Add '-5y' to each side of the equation.
5y + -5y + -1yz = 1 + -5y

Combine like terms: 5y + -5y = 0
0 + -1yz = 1 + -5y
-1yz = 1 + -5y

Add 'yz' to each side of the equation.
-1yz + yz = 1 + -5y + yz

Combine like terms: -1yz + yz = 0
0 = 1 + -5y + yz

Simplifying
0 = 1 + -5y + yz

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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