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Simplifying 8x4y2 + 16xy3 + 32xy4 = 0 Reorder the terms: 16xy3 + 32xy4 + 8x4y2 = 0 Solving 16xy3 + 32xy4 + 8x4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8xy2'. 8xy2(2y + 4y2 + x3) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2y + 4y2 + x3)' equal to zero and attempt to solve: Simplifying 2y + 4y2 + x3 = 0 Reorder the terms: x3 + 2y + 4y2 = 0 Solving x3 + 2y + 4y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x3 + 2y + -2y + 4y2 = 0 + -2y Combine like terms: 2y + -2y = 0 x3 + 0 + 4y2 = 0 + -2y x3 + 4y2 = 0 + -2y Remove the zero: x3 + 4y2 = -2y Add '-4y2' to each side of the equation. x3 + 4y2 + -4y2 = -2y + -4y2 Combine like terms: 4y2 + -4y2 = 0 x3 + 0 = -2y + -4y2 x3 = -2y + -4y2 Simplifying x3 = -2y + -4y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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