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Simplifying zx = xy Solving xz = xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xy' to each side of the equation. -1xy + xz = xy + -1xy Combine like terms: xy + -1xy = 0 -1xy + xz = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1y + z) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-1y + z)' equal to zero and attempt to solve: Simplifying -1y + z = 0 Solving -1y + z = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -1y + y + z = 0 + y Combine like terms: -1y + y = 0 0 + z = 0 + y z = 0 + y Remove the zero: z = y Add '-1z' to each side of the equation. z + -1z = y + -1z Combine like terms: z + -1z = 0 0 = y + -1z Simplifying 0 = y + -1z 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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