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Simplifying 2x * 4y = x * y * z Reorder the terms for easier multiplication: 2 * 4x * y = x * y * z Multiply 2 * 4 8x * y = x * y * z Multiply x * y 8xy = x * y * z Multiply x * y 8xy = xy * z Multiply xy * z 8xy = xyz Solving 8xy = xyz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1xyz' to each side of the equation. 8xy + -1xyz = xyz + -1xyz Combine like terms: xyz + -1xyz = 0 8xy + -1xyz = 0 Factor out the Greatest Common Factor (GCF), 'xy'. xy(8 + -1z) = 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 '(8 + -1z)' equal to zero and attempt to solve: Simplifying 8 + -1z = 0 Solving 8 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 0 + -8 -1z = 0 + -8 Combine like terms: 0 + -8 = -8 -1z = -8 Add 'z' to each side of the equation. -1z + z = -8 + z Combine like terms: -1z + z = 0 0 = -8 + z Simplifying 0 = -8 + z 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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