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Simplifying 2x + 3xy + 4x + 5xy + 6z = 0 Reorder the terms: 2x + 4x + 3xy + 5xy + 6z = 0 Combine like terms: 2x + 4x = 6x 6x + 3xy + 5xy + 6z = 0 Combine like terms: 3xy + 5xy = 8xy 6x + 8xy + 6z = 0 Solving 6x + 8xy + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6z' to each side of the equation. 6x + 8xy + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 6x + 8xy + 0 = 0 + -6z 6x + 8xy = 0 + -6z Remove the zero: 6x + 8xy = -6z Combine like terms: -6z + 6z = 0 6x + 8xy + 6z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3x + 4xy + 3z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3x + 4xy + 3z)' equal to zero and attempt to solve: Simplifying 3x + 4xy + 3z = 0 Solving 3x + 4xy + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3z' to each side of the equation. 3x + 4xy + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 3x + 4xy + 0 = 0 + -3z 3x + 4xy = 0 + -3z Remove the zero: 3x + 4xy = -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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