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Simplifying 3x3y + 6x2y2 + -12x2y = 0 Reorder the terms: -12x2y + 6x2y2 + 3x3y = 0 Solving -12x2y + 6x2y2 + 3x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y'. 3x2y(-4 + 2y + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + 2y + x)' equal to zero and attempt to solve: Simplifying -4 + 2y + x = 0 Reorder the terms: -4 + x + 2y = 0 Solving -4 + x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + x + 4 + 2y = 0 + 4 Reorder the terms: -4 + 4 + x + 2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x + 2y = 0 + 4 x + 2y = 0 + 4 Combine like terms: 0 + 4 = 4 x + 2y = 4 Add '-2y' to each side of the equation. x + 2y + -2y = 4 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 4 + -2y x = 4 + -2y Simplifying x = 4 + -2ySolution
x = {4 + -2y}
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