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Simplifying 24x2y + -8xy + 6xy2 = 0 Reorder the terms: -8xy + 6xy2 + 24x2y = 0 Solving -8xy + 6xy2 + 24x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(-4 + 3y + 12x) = 0 Ignore the factor 2.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 '(-4 + 3y + 12x)' equal to zero and attempt to solve: Simplifying -4 + 3y + 12x = 0 Reorder the terms: -4 + 12x + 3y = 0 Solving -4 + 12x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 12x + 4 + 3y = 0 + 4 Reorder the terms: -4 + 4 + 12x + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 12x + 3y = 0 + 4 12x + 3y = 0 + 4 Combine like terms: 0 + 4 = 4 12x + 3y = 4 Add '-3y' to each side of the equation. 12x + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 12x + 0 = 4 + -3y 12x = 4 + -3y Divide each side by '12'. x = 0.3333333333 + -0.25y Simplifying x = 0.3333333333 + -0.25ySolution
x = {0.3333333333 + -0.25y}
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