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Simplifying 2(x2 + x) + 3(x2y + xy) = 0 Reorder the terms: 2(x + x2) + 3(x2y + xy) = 0 (x * 2 + x2 * 2) + 3(x2y + xy) = 0 (2x + 2x2) + 3(x2y + xy) = 0 Reorder the terms: 2x + 2x2 + 3(xy + x2y) = 0 2x + 2x2 + (xy * 3 + x2y * 3) = 0 2x + 2x2 + (3xy + 3x2y) = 0 Reorder the terms: 2x + 3xy + 2x2 + 3x2y = 0 Solving 2x + 3xy + 2x2 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + 3y + 2x + 3xy) = 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 '(2 + 3y + 2x + 3xy)' equal to zero and attempt to solve: Simplifying 2 + 3y + 2x + 3xy = 0 Reorder the terms: 2 + 2x + 3xy + 3y = 0 Solving 2 + 2x + 3xy + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + 3xy + -2 + 3y = 0 + -2 Reorder the terms: 2 + -2 + 2x + 3xy + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + 3xy + 3y = 0 + -2 2x + 3xy + 3y = 0 + -2 Combine like terms: 0 + -2 = -2 2x + 3xy + 3y = -2 Add '-3y' to each side of the equation. 2x + 3xy + 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 2x + 3xy + 0 = -2 + -3y 2x + 3xy = -2 + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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