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Simplifying -2xy2(3x + -2y) = 0 (3x * -2xy2 + -2y * -2xy2) = 0 Reorder the terms: (4xy3 + -6x2y2) = 0 (4xy3 + -6x2y2) = 0 Solving 4xy3 + -6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy2'. 2xy2(2y + -3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(2y + -3x)' equal to zero and attempt to solve: Simplifying 2y + -3x = 0 Reorder the terms: -3x + 2y = 0 Solving -3x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -3x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = 0 + -2y -3x = 0 + -2y Remove the zero: -3x = -2y Divide each side by '-3'. x = 0.6666666667y Simplifying x = 0.6666666667ySolution
x = {0.6666666667y}
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