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Simplifying x2 + 2xy + 3x + 2x + 3xy = 0 Reorder the terms: 3x + 2x + 2xy + 3xy + x2 = 0 Combine like terms: 3x + 2x = 5x 5x + 2xy + 3xy + x2 = 0 Combine like terms: 2xy + 3xy = 5xy 5x + 5xy + x2 = 0 Solving 5x + 5xy + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 5y + x) = 0Subproblem 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 '(5 + 5y + x)' equal to zero and attempt to solve: Simplifying 5 + 5y + x = 0 Reorder the terms: 5 + x + 5y = 0 Solving 5 + x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + x + -5 + 5y = 0 + -5 Reorder the terms: 5 + -5 + x + 5y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x + 5y = 0 + -5 x + 5y = 0 + -5 Combine like terms: 0 + -5 = -5 x + 5y = -5 Add '-5y' to each side of the equation. x + 5y + -5y = -5 + -5y Combine like terms: 5y + -5y = 0 x + 0 = -5 + -5y x = -5 + -5y Simplifying x = -5 + -5ySolution
x = {0, -5 + -5y}
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