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Simplifying zxy = 2xy2 Solving xyz = 2xy2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2xy2' to each side of the equation. xyz + -2xy2 = 2xy2 + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 xyz + -2xy2 = 0 Factor out the Greatest Common Factor (GCF), 'xy'. xy(z + -2y) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(z + -2y)' equal to zero and attempt to solve: Simplifying z + -2y = 0 Reorder the terms: -2y + z = 0 Solving -2y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -2y + 2y + z = 0 + 2y Combine like terms: -2y + 2y = 0 0 + z = 0 + 2y z = 0 + 2y Remove the zero: z = 2y Add '-1z' to each side of the equation. z + -1z = 2y + -1z Combine like terms: z + -1z = 0 0 = 2y + -1z Simplifying 0 = 2y + -1z 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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