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Simplifying 2x(x2 + 3y) = 0 (x2 * 2x + 3y * 2x) = 0 Reorder the terms: (6xy + 2x3) = 0 (6xy + 2x3) = 0 Solving 6xy + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(3y + x2) = 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 '(3y + x2)' equal to zero and attempt to solve: Simplifying 3y + x2 = 0 Reorder the terms: x2 + 3y = 0 Solving x2 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x2 + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 x2 + 0 = 0 + -3y x2 = 0 + -3y Remove the zero: x2 = -3y Simplifying x2 = -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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