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Simplifying 3xy + 4xy + 2x = 0 Reorder the terms: 2x + 3xy + 4xy = 0 Combine like terms: 3xy + 4xy = 7xy 2x + 7xy = 0 Solving 2x + 7xy = 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), 'x'. x(2 + 7y) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2 + 7y)' equal to zero and attempt to solve: Simplifying 2 + 7y = 0 Solving 2 + 7y = 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 + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7y = 0 + -2 7y = 0 + -2 Combine like terms: 0 + -2 = -2 7y = -2 Add '-7y' to each side of the equation. 7y + -7y = -2 + -7y Combine like terms: 7y + -7y = 0 0 = -2 + -7y Simplifying 0 = -2 + -7y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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