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Simplifying 12x2y + 8xy + 4xy2 = 0 Reorder the terms: 8xy + 4xy2 + 12x2y = 0 Solving 8xy + 4xy2 + 12x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(2 + y + 3x) = 0 Ignore the factor 4.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 '(2 + y + 3x)' equal to zero and attempt to solve: Simplifying 2 + y + 3x = 0 Reorder the terms: 2 + 3x + y = 0 Solving 2 + 3x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3x + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + 3x + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + y = 0 + -2 3x + y = 0 + -2 Combine like terms: 0 + -2 = -2 3x + y = -2 Add '-1y' to each side of the equation. 3x + y + -1y = -2 + -1y Combine like terms: y + -1y = 0 3x + 0 = -2 + -1y 3x = -2 + -1y Divide each side by '3'. x = -0.6666666667 + -0.3333333333y Simplifying x = -0.6666666667 + -0.3333333333ySolution
x = {-0.6666666667 + -0.3333333333y}
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