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Simplifying -6xy + 4x + -1xy2 + -3x + -4xy + xy2 = 0 Reorder the terms: 4x + -3x + -6xy + -4xy + -1xy2 + xy2 = 0 Combine like terms: 4x + -3x = 1x 1x + -6xy + -4xy + -1xy2 + xy2 = 0 Combine like terms: -6xy + -4xy = -10xy 1x + -10xy + -1xy2 + xy2 = 0 Combine like terms: -1xy2 + xy2 = 0 1x + -10xy + 0 = 0 1x + -10xy = 0 Solving 1x + -10xy = 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(1 + -10y) = 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 '(1 + -10y)' equal to zero and attempt to solve: Simplifying 1 + -10y = 0 Solving 1 + -10y = 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 + -10y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10y = 0 + -1 -10y = 0 + -1 Combine like terms: 0 + -1 = -1 -10y = -1 Add '10y' to each side of the equation. -10y + 10y = -1 + 10y Combine like terms: -10y + 10y = 0 0 = -1 + 10y Simplifying 0 = -1 + 10y 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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