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Simplifying 6x2y + 9xy2z + 3xyz = 0 Reorder the terms: 3xyz + 9xy2z + 6x2y = 0 Solving 3xyz + 9xy2z + 6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(z + 3yz + 2x) = 0 Ignore the factor 3.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 + 3yz + 2x)' equal to zero and attempt to solve: Simplifying z + 3yz + 2x = 0 Reorder the terms: 2x + 3yz + z = 0 Solving 2x + 3yz + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3yz' to each side of the equation. 2x + 3yz + -3yz + z = 0 + -3yz Combine like terms: 3yz + -3yz = 0 2x + 0 + z = 0 + -3yz 2x + z = 0 + -3yz Remove the zero: 2x + z = -3yz Add '-1z' to each side of the equation. 2x + z + -1z = -3yz + -1z Combine like terms: z + -1z = 0 2x + 0 = -3yz + -1z 2x = -3yz + -1z Divide each side by '2'. x = -1.5yz + -0.5z Simplifying x = -1.5yz + -0.5zSolution
x = {-1.5yz + -0.5z}
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