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Simplifying 12x4y2z + -42x3y3z2 = 0 Reorder the terms: -42x3y3z2 + 12x4y2z = 0 Solving -42x3y3z2 + 12x4y2z = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x3y2z'. 6x3y2z(-7yz + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x3y2z' equal to zero and attempt to solve: Simplifying x3y2z = 0 Solving x3y2z = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y2z = 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 '(-7yz + 2x)' equal to zero and attempt to solve: Simplifying -7yz + 2x = 0 Reorder the terms: 2x + -7yz = 0 Solving 2x + -7yz = 0 Move all terms containing x to the left, all other terms to the right. Add '7yz' to each side of the equation. 2x + -7yz + 7yz = 0 + 7yz Combine like terms: -7yz + 7yz = 0 2x + 0 = 0 + 7yz 2x = 0 + 7yz Remove the zero: 2x = 7yz Divide each side by '2'. x = 3.5yz Simplifying x = 3.5yzSolution
x = {3.5yz}
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