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Simplifying 60z3 + 30z = 0 Reorder the terms: 30z + 60z3 = 0 Solving 30z + 60z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '30z'. 30z(1 + 2z2) = 0 Ignore the factor 30.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 '(1 + 2z2)' equal to zero and attempt to solve: Simplifying 1 + 2z2 = 0 Solving 1 + 2z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2z2 = 0 + -1 2z2 = 0 + -1 Combine like terms: 0 + -1 = -1 2z2 = -1 Divide each side by '2'. z2 = -0.5 Simplifying z2 = -0.5 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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