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Simplifying 3xy + 3xyz = -3xy Solving 3xy + 3xyz = -3xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3xy' to each side of the equation. 3xy + 3xy + 3xyz = -3xy + 3xy Combine like terms: 3xy + 3xy = 6xy 6xy + 3xyz = -3xy + 3xy Combine like terms: -3xy + 3xy = 0 6xy + 3xyz = 0 Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(2 + z) = 0 Ignore the factor 3.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 '(2 + z)' equal to zero and attempt to solve: Simplifying 2 + z = 0 Solving 2 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + z = 0 + -2 z = 0 + -2 Combine like terms: 0 + -2 = -2 z = -2 Add '-1z' to each side of the equation. z + -1z = -2 + -1z Combine like terms: z + -1z = 0 0 = -2 + -1z Simplifying 0 = -2 + -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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