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Simplifying 2x = 3yx Solving 2x = 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. 2x + -3xy = 3xy + -3xy Combine like terms: 3xy + -3xy = 0 2x + -3xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -3y) = 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 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 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 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Add '3y' to each side of the equation. -3y + 3y = -2 + 3y Combine like terms: -3y + 3y = 0 0 = -2 + 3y Simplifying 0 = -2 + 3y 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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