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Simplifying 12x2y2z + 40xy3z2 = 0 Reorder the terms: 40xy3z2 + 12x2y2z = 0 Solving 40xy3z2 + 12x2y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy2z'. 4xy2z(10yz + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy2z' equal to zero and attempt to solve: Simplifying xy2z = 0 Solving xy2z = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2z = 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 '(10yz + 3x)' equal to zero and attempt to solve: Simplifying 10yz + 3x = 0 Reorder the terms: 3x + 10yz = 0 Solving 3x + 10yz = 0 Move all terms containing x to the left, all other terms to the right. Add '-10yz' to each side of the equation. 3x + 10yz + -10yz = 0 + -10yz Combine like terms: 10yz + -10yz = 0 3x + 0 = 0 + -10yz 3x = 0 + -10yz Remove the zero: 3x = -10yz Divide each side by '3'. x = -3.333333333yz Simplifying x = -3.333333333yzSolution
x = {-3.333333333yz}
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