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Simplifying 4y2z(z + -1yz2) = 0 Reorder the terms: 4y2z(-1yz2 + z) = 0 (-1yz2 * 4y2z + z * 4y2z) = 0 Reorder the terms: (4y2z2 + -4y3z3) = 0 (4y2z2 + -4y3z3) = 0 Solving 4y2z2 + -4y3z3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y2z2'. 4y2z2(1 + -1yz) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y2z2' equal to zero and attempt to solve: Simplifying y2z2 = 0 Solving y2z2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2z2 = 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 + -1yz)' equal to zero and attempt to solve: Simplifying 1 + -1yz = 0 Solving 1 + -1yz = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1yz = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1yz = 0 + -1 -1yz = 0 + -1 Combine like terms: 0 + -1 = -1 -1yz = -1 Divide each side by '-1z'. y = z-1 Simplifying y = z-1Solution
y = {z-1}
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