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