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Simplifying 3x4 + 15xy + -27xy3 = 0 Reorder the terms: 15xy + -27xy3 + 3x4 = 0 Solving 15xy + -27xy3 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(5y + -9y3 + x3) = 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 '(5y + -9y3 + x3)' equal to zero and attempt to solve: Simplifying 5y + -9y3 + x3 = 0 Reorder the terms: x3 + 5y + -9y3 = 0 Solving x3 + 5y + -9y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x3 + 5y + -5y + -9y3 = 0 + -5y Combine like terms: 5y + -5y = 0 x3 + 0 + -9y3 = 0 + -5y x3 + -9y3 = 0 + -5y Remove the zero: x3 + -9y3 = -5y Add '9y3' to each side of the equation. x3 + -9y3 + 9y3 = -5y + 9y3 Combine like terms: -9y3 + 9y3 = 0 x3 + 0 = -5y + 9y3 x3 = -5y + 9y3 Simplifying x3 = -5y + 9y3 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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