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Simplifying 18x2y + 6xyz = 0 Reorder the terms: 6xyz + 18x2y = 0 Solving 6xyz + 18x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy'. 6xy(z + 3x) = 0 Ignore the factor 6.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 + 3x)' equal to zero and attempt to solve: Simplifying z + 3x = 0 Reorder the terms: 3x + z = 0 Solving 3x + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. 3x + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 3x + 0 = 0 + -1z 3x = 0 + -1z Remove the zero: 3x = -1z Divide each side by '3'. x = -0.3333333333z Simplifying x = -0.3333333333zSolution
x = {-0.3333333333z}
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