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Simplifying 4x + -2x + 6xy + 21x + (-9xy) = 0 Reorder the terms: 4x + -2x + 21x + 6xy + (-9xy) = 0 Combine like terms: 4x + -2x = 2x 2x + 21x + 6xy + (-9xy) = 0 Combine like terms: 2x + 21x = 23x 23x + 6xy + (-9xy) = 0 Combine like terms: 6xy + (-9xy) = -3xy 23x + -3xy = 0 Solving 23x + -3xy = 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(23 + -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 '(23 + -3y)' equal to zero and attempt to solve: Simplifying 23 + -3y = 0 Solving 23 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -3y = 0 + -23 -3y = 0 + -23 Combine like terms: 0 + -23 = -23 -3y = -23 Add '3y' to each side of the equation. -3y + 3y = -23 + 3y Combine like terms: -3y + 3y = 0 0 = -23 + 3y Simplifying 0 = -23 + 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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