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Simplifying 2xy + 3xz + xy = 0 Reorder the terms: 2xy + xy + 3xz = 0 Combine like terms: 2xy + xy = 3xy 3xy + 3xz = 0 Solving 3xy + 3xz = 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(y + z) = 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 = 0Subproblem 2
Set the factor '(y + z)' equal to zero and attempt to solve: Simplifying y + z = 0 Solving y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y + z = 0 + -1y Combine like terms: y + -1y = 0 0 + z = 0 + -1y z = 0 + -1y Remove the zero: z = -1y Add '-1z' to each side of the equation. z + -1z = -1y + -1z Combine like terms: z + -1z = 0 0 = -1y + -1z Simplifying 0 = -1y + -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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