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Simplifying -48xyz + -24xy + 8xyz = 0 Reorder the terms: -24xy + -48xyz + 8xyz = 0 Combine like terms: -48xyz + 8xyz = -40xyz -24xy + -40xyz = 0 Solving -24xy + -40xyz = 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), '-8xy'. -8xy(3 + 5z) = 0 Ignore the factor -8.Subproblem 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 '(3 + 5z)' equal to zero and attempt to solve: Simplifying 3 + 5z = 0 Solving 3 + 5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5z = 0 + -3 5z = 0 + -3 Combine like terms: 0 + -3 = -3 5z = -3 Add '-5z' to each side of the equation. 5z + -5z = -3 + -5z Combine like terms: 5z + -5z = 0 0 = -3 + -5z Simplifying 0 = -3 + -5z 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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