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Simplifying 3x2y + (-2xy) + xy + (-6xy2) = 0 Reorder the terms: (-2xy) + xy + (-6xy2) + 3x2y = 0 Combine like terms: (-2xy) + xy = -1xy -1xy + (-6xy2) + 3x2y = 0 Solving -1xy + (-6xy2) + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-1 + (-6y) + 3x) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + (-6y) + 3x)' equal to zero and attempt to solve: Simplifying -1 + (-6y) + 3x = 0 Reorder the terms: -1 + 3x + (-6y) = 0 Solving -1 + 3x + (-6y) = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3x + 1 + (-6y) = 0 + 1 Reorder the terms: -1 + 1 + 3x + (-6y) = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x + (-6y) = 0 + 1 3x + (-6y) = 0 + 1 Combine like terms: 0 + 1 = 1 3x + (-6y) = 1 Add '(6y)' to each side of the equation. 3x + (-6y) + (6y) = 1 + (6y) Combine like terms: (-6y) + (6y) = 0 3x + 0 = 1 + (6y) 3x = 1 + (6y) Divide each side by '3'. x = 0.3333333333 + (2y) Simplifying x = 0.3333333333 + (2y)Solution
x = {0.3333333333 + (2y)}
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