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Simplifying 8x2y + 4xyz + 4x2yz2 = 0 Reorder the terms: 4xyz + 8x2y + 4x2yz2 = 0 Solving 4xyz + 8x2y + 4x2yz2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(z + 2x + xz2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(z + 2x + xz2)' equal to zero and attempt to solve: Simplifying z + 2x + xz2 = 0 Reorder the terms: 2x + xz2 + z = 0 Solving 2x + xz2 + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 2x + xz2 + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 2x + xz2 + 0 = 0 + -1z 2x + xz2 = 0 + -1z Remove the zero: 2x + xz2 = -1z 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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