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Simplifying 4x2yz + -2xy2z2 = 0 Reorder the terms: -2xy2z2 + 4x2yz = 0 Solving -2xy2z2 + 4x2yz = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xyz'. 2xyz(-1yz + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xyz' equal to zero and attempt to solve: Simplifying xyz = 0 Solving xyz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xyz = 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 '(-1yz + 2x)' equal to zero and attempt to solve: Simplifying -1yz + 2x = 0 Reorder the terms: 2x + -1yz = 0 Solving 2x + -1yz = 0 Move all terms containing x to the left, all other terms to the right. Add 'yz' to each side of the equation. 2x + -1yz + yz = 0 + yz Combine like terms: -1yz + yz = 0 2x + 0 = 0 + yz 2x = 0 + yz Remove the zero: 2x = yz Divide each side by '2'. x = 0.5yz Simplifying x = 0.5yzSolution
x = {0.5yz}
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