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Simplifying 12x5y3z + 6x2yz4 = 0 Reorder the terms: 6x2yz4 + 12x5y3z = 0 Solving 6x2yz4 + 12x5y3z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x2yz'. 6x2yz(z3 + 2x3y2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x2yz' equal to zero and attempt to solve: Simplifying x2yz = 0 Solving x2yz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2yz = 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 '(z3 + 2x3y2)' equal to zero and attempt to solve: Simplifying z3 + 2x3y2 = 0 Reorder the terms: 2x3y2 + z3 = 0 Solving 2x3y2 + z3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z3' to each side of the equation. 2x3y2 + z3 + -1z3 = 0 + -1z3 Combine like terms: z3 + -1z3 = 0 2x3y2 + 0 = 0 + -1z3 2x3y2 = 0 + -1z3 Remove the zero: 2x3y2 = -1z3 Divide each side by '2y2'. x3 = -0.5y-2z3 Simplifying x3 = -0.5y-2z3 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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