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Simplifying 13xy + -4x + 5x2y2 + 3xy + -3x2y2 = 0 Reorder the terms: -4x + 13xy + 3xy + 5x2y2 + -3x2y2 = 0 Combine like terms: 13xy + 3xy = 16xy -4x + 16xy + 5x2y2 + -3x2y2 = 0 Combine like terms: 5x2y2 + -3x2y2 = 2x2y2 -4x + 16xy + 2x2y2 = 0 Solving -4x + 16xy + 2x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-2 + 8y + xy2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + 8y + xy2)' equal to zero and attempt to solve: Simplifying -2 + 8y + xy2 = 0 Reorder the terms: -2 + xy2 + 8y = 0 Solving -2 + xy2 + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + xy2 + 2 + 8y = 0 + 2 Reorder the terms: -2 + 2 + xy2 + 8y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + xy2 + 8y = 0 + 2 xy2 + 8y = 0 + 2 Combine like terms: 0 + 2 = 2 xy2 + 8y = 2 Add '-8y' to each side of the equation. xy2 + 8y + -8y = 2 + -8y Combine like terms: 8y + -8y = 0 xy2 + 0 = 2 + -8y xy2 = 2 + -8y Divide each side by 'y2'. x = 2y-2 + -8y-1 Simplifying x = 2y-2 + -8y-1Solution
x = {0, 2y-2 + -8y-1}
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