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Simplifying 12x3 + 3xy = 0 Reorder the terms: 3xy + 12x3 = 0 Solving 3xy + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(y + 4x2) = 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 '(y + 4x2)' equal to zero and attempt to solve: Simplifying y + 4x2 = 0 Reorder the terms: 4x2 + y = 0 Solving 4x2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 4x2 + 0 = 0 + -1y 4x2 = 0 + -1y Remove the zero: 4x2 = -1y Divide each side by '4'. x2 = -0.25y Simplifying x2 = -0.25y 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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