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Simplifying 8x2y + 4xy + -12xy2 = 0 Reorder the terms: 4xy + -12xy2 + 8x2y = 0 Solving 4xy + -12xy2 + 8x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(1 + -3y + 2x) = 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 '(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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