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Simplifying 2z3 = -8z Solving 2z3 = -8z Solving for variable 'z'. Reorder the terms: 8z + 2z3 = -8z + 8z Combine like terms: -8z + 8z = 0 8z + 2z3 = 0 Factor out the Greatest Common Factor (GCF), '2z'. 2z(4 + z2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(4 + z2)' equal to zero and attempt to solve: Simplifying 4 + z2 = 0 Solving 4 + z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + z2 = 0 + -4 z2 = 0 + -4 Combine like terms: 0 + -4 = -4 z2 = -4 Simplifying z2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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