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Simplifying 12x2y3 + 18x2y + -24x3y2 = 0 Reorder the terms: 18x2y + 12x2y3 + -24x3y2 = 0 Solving 18x2y + 12x2y3 + -24x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2y'. 6x2y(3 + 2y2 + -4xy) = 0 Ignore the factor 6.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 '(3 + 2y2 + -4xy)' equal to zero and attempt to solve: Simplifying 3 + 2y2 + -4xy = 0 Reorder the terms: 3 + -4xy + 2y2 = 0 Solving 3 + -4xy + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4xy + -3 + 2y2 = 0 + -3 Reorder the terms: 3 + -3 + -4xy + 2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4xy + 2y2 = 0 + -3 -4xy + 2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4xy + 2y2 = -3 Add '-2y2' to each side of the equation. -4xy + 2y2 + -2y2 = -3 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -4xy + 0 = -3 + -2y2 -4xy = -3 + -2y2 Divide each side by '-4y'. x = 0.75y-1 + 0.5y Simplifying x = 0.75y-1 + 0.5ySolution
x = {0.75y-1 + 0.5y}
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