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Simplifying 6xy2 + -3x2y + -2y2x = 0 Reorder the terms: 6xy2 + -2xy2 + -3x2y = 0 Combine like terms: 6xy2 + -2xy2 = 4xy2 4xy2 + -3x2y = 0 Solving 4xy2 + -3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(4y + -3x) = 0Subproblem 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 '(4y + -3x)' equal to zero and attempt to solve: Simplifying 4y + -3x = 0 Reorder the terms: -3x + 4y = 0 Solving -3x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -3x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -3x + 0 = 0 + -4y -3x = 0 + -4y Remove the zero: -3x = -4y Divide each side by '-3'. x = 1.333333333y Simplifying x = 1.333333333ySolution
x = {1.333333333y}
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