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Simplifying 6x2y + 3x2z + 9xz3 = 0 Reorder the terms: 9xz3 + 6x2y + 3x2z = 0 Solving 9xz3 + 6x2y + 3x2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(3z3 + 2xy + xz) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3z3 + 2xy + xz)' equal to zero and attempt to solve: Simplifying 3z3 + 2xy + xz = 0 Reorder the terms: 2xy + xz + 3z3 = 0 Solving 2xy + xz + 3z3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3z3' to each side of the equation. 2xy + xz + 3z3 + -3z3 = 0 + -3z3 Combine like terms: 3z3 + -3z3 = 0 2xy + xz + 0 = 0 + -3z3 2xy + xz = 0 + -3z3 Remove the zero: 2xy + xz = -3z3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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