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Simplifying 42x3y2z = 28xy3 Solving 42x3y2z = 28xy3 Solving for variable 'x'. Reorder the terms: -28xy3 + 42x3y2z = 28xy3 + -28xy3 Combine like terms: 28xy3 + -28xy3 = 0 -28xy3 + 42x3y2z = 0 Factor out the Greatest Common Factor (GCF), '14xy2'. 14xy2(-2y + 3x2z) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 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 '(-2y + 3x2z)' equal to zero and attempt to solve: Simplifying -2y + 3x2z = 0 Reorder the terms: 3x2z + -2y = 0 Solving 3x2z + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x2z + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x2z + 0 = 0 + 2y 3x2z = 0 + 2y Remove the zero: 3x2z = 2y Divide each side by '3z'. x2 = 0.6666666667yz-1 Simplifying x2 = 0.6666666667yz-1 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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