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Simplifying (x2y + -3y2 + 5xy2) + -1(-1x2y + 3xy2 + -3y2) = 0 Reorder the terms: (5xy2 + x2y + -3y2) + -1(-1x2y + 3xy2 + -3y2) = 0 Remove parenthesis around (5xy2 + x2y + -3y2) 5xy2 + x2y + -3y2 + -1(-1x2y + 3xy2 + -3y2) = 0 Reorder the terms: 5xy2 + x2y + -3y2 + -1(3xy2 + -1x2y + -3y2) = 0 5xy2 + x2y + -3y2 + (3xy2 * -1 + -1x2y * -1 + -3y2 * -1) = 0 5xy2 + x2y + -3y2 + (-3xy2 + 1x2y + 3y2) = 0 Reorder the terms: 5xy2 + -3xy2 + x2y + 1x2y + -3y2 + 3y2 = 0 Combine like terms: 5xy2 + -3xy2 = 2xy2 2xy2 + x2y + 1x2y + -3y2 + 3y2 = 0 Combine like terms: x2y + 1x2y = 2x2y 2xy2 + 2x2y + -3y2 + 3y2 = 0 Combine like terms: -3y2 + 3y2 = 0 2xy2 + 2x2y + 0 = 0 2xy2 + 2x2y = 0 Solving 2xy2 + 2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(y + x) = 0 Ignore the factor 2.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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {-1y}
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