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