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Simplifying (3xy) + 3z(-3xy) = 0 Remove parenthesis around (-3xy) (3xy) + 3z * -3xy = 0 Reorder the terms for easier multiplication: (3xy) + 3 * -3z * xy = 0 Multiply 3 * -3 (3xy) + -9z * xy = 0 Multiply z * xy (3xy) + -9xyz = 0 Solving (3xy) + -9xyz = 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), '3xy'. 3xy(1 + -3z) = 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 '(1 + -3z)' equal to zero and attempt to solve: Simplifying 1 + -3z = 0 Solving 1 + -3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3z = 0 + -1 -3z = 0 + -1 Combine like terms: 0 + -1 = -1 -3z = -1 Add '3z' to each side of the equation. -3z + 3z = -1 + 3z Combine like terms: -3z + 3z = 0 0 = -1 + 3z Simplifying 0 = -1 + 3z 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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