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Simplifying 2x2y + 3xy2 + -6x2y + 5xy2 = 0 Reorder the terms: 3xy2 + 5xy2 + 2x2y + -6x2y = 0 Combine like terms: 3xy2 + 5xy2 = 8xy2 8xy2 + 2x2y + -6x2y = 0 Combine like terms: 2x2y + -6x2y = -4x2y 8xy2 + -4x2y = 0 Solving 8xy2 + -4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(2y + -1x) = 0 Ignore the factor 4.Subproblem 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 '(2y + -1x)' equal to zero and attempt to solve: Simplifying 2y + -1x = 0 Reorder the terms: -1x + 2y = 0 Solving -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 0 + -2y -1x = 0 + -2y Remove the zero: -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2ySolution
x = {2y}
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