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