6xy+5yx-4xz-6xy=

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Solution for 6xy+5yx-4xz-6xy= equation:


Simplifying
6xy + 5yx + -4xz + -6xy = 0

Reorder the terms:
6xy + 5xy + -6xy + -4xz = 0

Combine like terms: 6xy + 5xy = 11xy
11xy + -6xy + -4xz = 0

Combine like terms: 11xy + -6xy = 5xy
5xy + -4xz = 0

Solving
5xy + -4xz = 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(5y + -4z) = 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 '(5y + -4z)' equal to zero and attempt to solve: Simplifying 5y + -4z = 0 Solving 5y + -4z = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 5y + -5y + -4z = 0 + -5y Combine like terms: 5y + -5y = 0 0 + -4z = 0 + -5y -4z = 0 + -5y Remove the zero: -4z = -5y Add '4z' to each side of the equation. -4z + 4z = -5y + 4z Combine like terms: -4z + 4z = 0 0 = -5y + 4z Simplifying 0 = -5y + 4z 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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