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Simplifying 3xy + -6x2y + 9xy2 = 0 Reorder the terms: 3xy + 9xy2 + -6x2y = 0 Solving 3xy + 9xy2 + -6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(1 + 3y + -2x) = 0 Ignore the factor 3.Subproblem 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 + 3y + -2x)' equal to zero and attempt to solve: Simplifying 1 + 3y + -2x = 0 Reorder the terms: 1 + -2x + 3y = 0 Solving 1 + -2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2x + -1 + 3y = 0 + -1 Reorder the terms: 1 + -1 + -2x + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x + 3y = 0 + -1 -2x + 3y = 0 + -1 Combine like terms: 0 + -1 = -1 -2x + 3y = -1 Add '-3y' to each side of the equation. -2x + 3y + -3y = -1 + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = -1 + -3y -2x = -1 + -3y Divide each side by '-2'. x = 0.5 + 1.5y Simplifying x = 0.5 + 1.5ySolution
x = {0.5 + 1.5y}
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