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Simplifying 21z3 + 28z = 0 Reorder the terms: 28z + 21z3 = 0 Solving 28z + 21z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '7z'. 7z(4 + 3z2) = 0 Ignore the factor 7.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 + 3z2)' equal to zero and attempt to solve: Simplifying 4 + 3z2 = 0 Solving 4 + 3z2 = 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 + 3z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3z2 = 0 + -4 3z2 = 0 + -4 Combine like terms: 0 + -4 = -4 3z2 = -4 Divide each side by '3'. z2 = -1.333333333 Simplifying z2 = -1.333333333 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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