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Simplifying 6x3y2z + 9xyz2 = 0 Reorder the terms: 9xyz2 + 6x3y2z = 0 Solving 9xyz2 + 6x3y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xyz'. 3xyz(3z + 2x2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'xyz' equal to zero and attempt to solve: Simplifying xyz = 0 Solving xyz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xyz = 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 '(3z + 2x2y)' equal to zero and attempt to solve: Simplifying 3z + 2x2y = 0 Reorder the terms: 2x2y + 3z = 0 Solving 2x2y + 3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3z' to each side of the equation. 2x2y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 2x2y + 0 = 0 + -3z 2x2y = 0 + -3z Remove the zero: 2x2y = -3z Divide each side by '2y'. x2 = -1.5y-1z Simplifying x2 = -1.5y-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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