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Simplifying 3[x + -1y(3x + y) + y2] = 0 3[x + (3x * -1y + y * -1y) + y2] = 0 3[x + (-3xy + -1y2) + y2] = 0 Combine like terms: -1y2 + y2 = 0 3[x + -3xy + 0] = 0 3[x + -3xy] = 0 [x * 3 + -3xy * 3] = 0 [3x + -9xy] = 0 Solving 3x + -9xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -3y) = 0 Ignore the factor 3.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 '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Add '3y' to each side of the equation. -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 0 = -1 + 3y Simplifying 0 = -1 + 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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