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Simplifying 4x2yz2(4xyz + -2y) = 0 (4xyz * 4x2yz2 + -2y * 4x2yz2) = 0 Reorder the terms: (-8x2y2z2 + 16x3y2z3) = 0 (-8x2y2z2 + 16x3y2z3) = 0 Solving -8x2y2z2 + 16x3y2z3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x2y2z2'. 8x2y2z2(-1 + 2xz) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x2y2z2' equal to zero and attempt to solve: Simplifying x2y2z2 = 0 Solving x2y2z2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2z2 = 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 '(-1 + 2xz)' equal to zero and attempt to solve: Simplifying -1 + 2xz = 0 Solving -1 + 2xz = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2xz = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2xz = 0 + 1 2xz = 0 + 1 Combine like terms: 0 + 1 = 1 2xz = 1 Divide each side by '2z'. x = 0.5z-1 Simplifying x = 0.5z-1Solution
x = {0.5z-1}
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